{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Build a tree in Hyperiax\n",
    "\n",
    "All the functions of Hyperiax are about trees. Thus, it is necessary to know how to actually build a tree in Hyperiax. This notebook will show you two main ways of building trees which should meet your needs in most of the cases:\n",
    "- **Build a tree with a defined topology**\n",
    "- **Build a tree from Newick strings**\n",
    "\n",
    "A tree in Hyperiax is instantiated from the `HypTree` class defined in `hyperiax.tree.tree.py`, which is essentially a linked list by tree nodes as `TopologyNode`. When initializing the `HypTree`, Hyperiax will automatically do all the work including assigning data according to the desired topological order, precomputing a series of indices that is required for the execution engine to run on the tree, or other functions for tree visualizations.\n",
    "\n",
    "The topology of the tree can be simply specified by some predefined functions in `hyperiax.tree.topology.py`, so that you don't need to arrange them by hands. Let's first see how we can create and plot trees with simple topologies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import hyperiax\n",
    "from hyperiax.tree.topology import symmetric_topology, asymmetric_topology, read_topology, write_topology\n",
    "from hyperiax.tree import HypTree\n",
    "from hyperiax.plotting import plot_tree\n",
    "\n",
    "import jax\n",
    "from jax import numpy as jnp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build a tree with a simple topology\n",
    "\n",
    "### Choose the topology\n",
    "The shape of the tree is determined by the topology. Take an asymmetric tree as an example, to build an asymmetric tree, with `h` depth and branchings, use `hyperiax.tree.topology.asymmetric_topology(depth)`. Note that before the branch lengths have been specified explicitly, the lengths are set to be uniform by default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "topology = asymmetric_topology(5)\n",
    "tree = HypTree(topology)    \n",
    "plot_tree(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add node names\n",
    "It is also possible to add names to the tree nodes to distinguish them. The names of nodes are recorded as the attributes of `TopologyNode`, therefore, can be accessed and changed through iterating over all the nodes. We use a symmetric tree to illustrate it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# build a symmetric tree of height 4 and degree 2\n",
    "topology = symmetric_topology(height=4, degree=2)\n",
    "tree = HypTree(topology)\n",
    "\n",
    "# iterate over all the nodes in the tree and assign them a name\n",
    "for i,node in enumerate(tree.iter_topology_bfs()):\n",
    "    node.name = 'node' + str(i)\n",
    "    # alternatively the below will yield the same result but save an enumeration\n",
    "    # node.name = node.id \n",
    "\n",
    "plot_tree(tree,inc_names=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add edge lengths\n",
    "Besides the node names, all the other properties including the edge lengths are stored in `TopologyNode`'s `data` attribute, which is a dictionary. It means you can assign and access these properties using their names as keys, and the value can be either constants read from files or expressions you want to compute, just like what you can do in a normal Python dict. Here, we use decaying exponential lengths based on the depth of nodes, such that nodes closer to the leaves have shorted edge lengths.\n",
    "\n",
    "Since each `HypTree` will calculate the depth of each node, we can use them here. The depth of nodes is returned as a `jax.numpy.ndarray` that holds a single integer, and it is stored in the same order as the rest of the data in the tree. Thus, we can use it freely to do the computations or assign it to any data slot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tree.add_property('edge_length', shape=(1,))\n",
    "tree.data['edge_length'] = jnp.exp(-jnp.log(2)*tree.node_depths)\n",
    "plot_tree(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build a tree from a Newick string\n",
    "\n",
    "For some trees with complex topologies that can not be included into `symmetric_topology` or `asymmetric_topology`, Hyperiax also provides the function that can directly create the tree by read the Newick string which is a way of representing graph-theoretical trees with edge lengths using parentheses and commas. The Newick format is commonly used in phylogenetics, which means it can be easily downloaded from a lot of phylogenetic databases and read by Hyperiax.\n",
    "\n",
    "### A handwritten Newick tree\n",
    "Let's start from a simple Newick string: `'(((A:1,B:1)H:0.5,(C:1,D:2)I:0.5)L:0.1,((E:1,F:1,G:1)J:0.5, K:0.5)M:0.1)N;'`. This string is totally enough to tell us all the information about this tree:\n",
    "- The tree has height of 4\n",
    "- The tree has 8 leaves named after A, B, C, D, E, F, G, K, and except node D and K, all the leaf nodes have same edge lengths of 1, and D has 2, K has 0.5\n",
    "- The root of tree is called N\n",
    "- The inner nodes are called H, I, J, L, M, individually\n",
    "\n",
    "Let's create this tree with `hyperiax.tree.topology.tree_from_newick_recursive(newick_string)` and verify it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxoAAAJ8CAYAAAB5mtehAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAf6UlEQVR4nO3de4xcdfn48Wd2S8FtBalrS+kSim2BIgSjQkIMCSCXUrmYBm9RLl4QaaqETbpWQUxUsN9CoGipkchNFKMpK4qiRLl1QYkEgXIRBKyE0rJQeoFugU1n5/eHv64svUF5OufMzuuVkOzszB9P+PSzZ98755yp1Gq1WgAAACRqKXoAAABg+BEaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAuhFFDwAAG/X398fChQvj6aefjkmTJsXMmTNj5MiRRY8FwHao1Gq1WtFDAEBXV1dceumlUa1WB7/X2toanZ2dMW/evAInA2B7CA0ACtfV1RUXX3zxFp+fPXu22ABoMEIDImJgYCBWrlwZERFtbW1RqVQKngiaR39/f7S3t8fAwMAWX9PS0hIrV650GhXUQa1Wi/Xr10dERHt7e7S0uKSX7SM0ICJeeOGFGDduXNFjAECp9Pb2xtixY4segwYlUQEAgHTuOgXx39OlNurt7Y1Ro0YVOA00lwULFsScOXO2+bq5c+fGrFmz6jARNLe+vr7Bd/nfeHyEt8upUxD//aE6evToiIhYt26d0IA66u/vj7a2tiF3m3qz1tbWWL9+vWs0oA4cE8ni1CkACjVy5Mjo7Ozc6ms6OztFBkCDceoUAIXbeOtan6MBMHw4dQrC28RQFj4ZHIrnmEgWoQHhhyoAbOSYSBbXaAAAAOmEBgAAkE5oAAAA6YQGAACQzu1tAShES0tLVCqVrb6mUqnEhg0b6jQRAJmEBgCF+M1vfrPF5/72t7/FD3/4wxgYGKjjRABkEhoAFOLkk0/e5HtPPPFEzJkzJ26++eb43Oc+F9/97ncLmAyADK7RAKBwy5cvjzPPPDMOOuig2LBhQzz44INx3XXXxd577130aABsJ6EBQGHWrl0b3/jGN2Ly5Mnx6KOPxm233RY333xzHHjggUWPBsA75NQpAAoxb968+L//+7/YY4894pe//OVmT6UCoHFVarVareghoGirV6+OMWPGRETE3Llz49xzz42RI0cWPBUMby0tLfGud70rjj766Ghtbd3i67q7u+s4FeCYSBanTtH0urq6or29ffDxnDlzoq2tLbq6ugqcCoa/0047LT71qU/FmDFjYrfddtvif0D9OCaSyTsaNLWurq64+OKLt/j87NmzY968eXWcCACK4ZhINqFRkIGBgVi5cmVERLS1tW3zQ6vI19/fH+3t7Vu9T39LS0usXLnSW8YFqNVqsX79+oiIaG9vj5YWb8DCcOR4WA6OieXWqMdEoVGQF154IcaNG1f0GNAQent7Y+zYsUWPAewAjofw9jTSMbExcggAAGgobm9bkLa2tsGve3t7Y9SoUQVO05wWLFgQc+bM2ebr5s6dG7NmzarDRLxRX1/f4F8537hfgOHF8bAcHBPLrVGPiU6dKkhfX1+MHj06IiLWrVvnB2sB+vv7o62tLarV6hZf09raGuvXr3c+agHsEWgO9no5OCaWW6PuE6dO0bRGjhwZnZ2dW31NZ2enH6gADHuOiewITp2iqW28Td+ll1465K84ra2t0dnZ6TZ+ADQNx0SyOXWqII36Fthw1d/fHwsXLoynn346Jk2aFDNnzvRXm4LZI9Ac7PXycUwsn0bdJ0KjII36DwbqxR6B5mCvw7Y16j5xjQYAAJBOaAAAAOmEBrzJfffdF1OnTi16DACAhuauU/AmS5cujccff7zoMQBgh9t3333f0uv+9a9/7eBJGI6EBgBAk3ryySdjxIgR8b73va/oURiGnDoFANCkDjzwwKhWq7FmzZo47LDDoqenJ5YvX77Jf7A9hAYAQJN6+OGHY82aNfGlL30p7rzzzpg8eXLstddeceGFF8bAwEDR49HgfI5GQRr1fsjDwZ577rnV51999dVYs2ZN2BrFskegOdjr5XLPPffE+eefH3fffXfUarVYtmxZ7LHHHkWP1fQadZ+4RoOms63NOWrUqGhvb6/TNABQHiNGjIhKpRIR4Q9uvGNCg6bz5JNPFj0CAJTGyy+/HOedd17ccMMNsWrVqpgwYUKcf/75cd5558WIEX5VZPv51wMA0KQOPPDAeOyxx2LnnXeO448/Pn7wgx/EfvvtV/RYDBNCAwCgST366KPR2toau+++e9x7771x5JFHbvZ17jzF9hAaAABNatKkSYPXZEA2oQEA0KSeeuqpokdgGPM5GgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqFRkP7+/sGvFyxYMOQxYI9As7DXYduq1erg14sXLx7yuMyERgG6urqivb198PGcOXOira0turq6CpwKysMegeZgr8O2dXd3x9SpUwcfT58+PSZOnBjd3d0FTvXWVGq1Wq3oIZpJV1dXXHzxxVt8fvbs2TFv3rw6TgTlYo9Ac7DXYdu6u7vjlFNOiTf/ul6pVCIiYtGiRTFjxowiRntLGio0BgYGYuXKlRER0dbWNvg/uVH09/dHe3t7DAwMbPE1LS0tsXLlyhg5cmQdJ9t+tVot1q9fHxER7e3t0dLiTbKiNfI+sUeoh0beI8PFcNzrw4mfW+VQrVZj4sSJsWzZss0+X6lUoqOjI5YuXRqtra11nu6taajQeOGFF2LcuHFFj8EW9Pb2xtixY4seo+nZJ+Vlj5SDPQJvnZ9bxbnzzjvjyCOP3Obr7rjjjjjiiCN2/EDbQaICAEDJrFixIvV1RRhR9ABvR1tb2+DXvb29MWrUqAKnefsWLFgQc+bM2ebr5s6dG7NmzarDRO9cX1/f4F8G37g+FKeR94k9Qj008h4ZLobjXh9O/Nwqh/Hjx6e+rggNdepUX19fjB49OiIi1q1b13AHh/7+/mhra9vqLclaW1tj/fr1DXNOaqOvyXDUyGtij1AP1qR4w3GvDyf2SDlsvEbjueee2+Ri8IjGuEbDqVN1NHLkyOjs7Nzqazo7O/1QpWnZI9Ac7HXYttbW1rj88ssjIja5acXGx/Pnzy9tZEQIjbqbN29ezJ49e5N/FK2trW7lB2GPQLPYuNfffEcjex3+Z8aMGbFo0aKYMGHCkO93dHSU/ta2EU6dKkx/f38sXLgwnn766Zg0aVLMnDmzIf9yM5zWZLgYLmtij7CjWJNyWb16dYwZMyYi/ntNxrnnntuQe304sUfKp1qtRk9PT6xYsSLGjx8fhx9+eKnfydhIaPCOWJPysSblYj3Kx5qUi/UoH2tCFqdOAQAA6YQGAACQTmgAAEADWbduXdEjvCUN9YF9jWrZsmVv6XUdHR07eBIAKM6ee+65yffeeKno5MmTY8SIETFmzJg46aST4nvf+149x4NSuOyyy+Lcc8/d4vOvvPJKTJs2Le655546TrV9hEYd7LXXXm/pdQ10XT6k2twvH5uzfPnyHTwJsCNt7qLigYGBwa83fgr18uXL4/vf/37cddddsXjx4rrNB2XwrW99K9773vfGaaedtslzfX19MW3atHjppZcKmOztExp1MH/+/MGva7VanHvuuTFz5szYd999ixsKSsQdTaA5PPnkk5t87413OFqyZMngz4MLLrggLrroorrOB2Vw/fXXx6mnnhrvec974qSTThr8fl9fXxx33HHx4osvxl133VXghG+d29sWoFKpxB133BFHHHFE0aO8Y8NlTYYTa1Iu1qN8rEm5bGk9nnnmmTjssMO8k1kAe6R4P/3pT+Occ86JP/zhD3HEEUcMvpPx/PPPx1133fWWzwQomnc0AIDS2XvvvUUGTevLX/5yrFq1Kk4++eT47W9/GxdccEEsX768oSIjQmgAAEDpdHV1xapVq+JjH/tYTJw4Me68886Gu3GQ0ChIS4s7CwMAMNSMGTOGPN5pp52ivb09zjnnnCHf7+7urudY20Vo1MHm3uKaMWNGjBw5csj3vEUMANDcdttttyGPP/vZzxY0yTsnNOrgzRdRTZ48uaBJAAAos2uuuaboEdIIjTrY3O38AABgOHOhAAAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJBOaAAAAOmEBgAAkE5oAAAA6YQGAACQTmgAAADphAYAAJCuoUKjWq0Ofr148eIhjymGNSkfawJbZ4+Ui/UoH2tCloYJje7u7pg6derg4+nTp8fEiROju7u7wKmamzUpH2sCW2ePlIv1KB9rQqpaA7jxxhtrlUqlFhFD/qtUKrVKpVK78cYbix6x6ViT8rEm5bRu3brBtVi3bl3R4zQ1e6RcrEf5WBOyVWq1Wq1eUbM9qtVqTJw4MZYtW7bZ5yuVSnR0dMTSpUujtbW1ztM1J2tSPtakvPr6+mL06NEREbFu3boYNWpUwRM1J3ukXKxH+VgTdoTSnzrV09OzxX/0ERG1Wi2effbZ6OnpqeNUzc2alI81ga2zR8rFepSPNWFHKH1orFixIvV1vHPWpHysCWydPVIu1qN8rAk7QulDY/z48amv452zJuVjTWDr7JFysR7lY03YERrmGo3nnnsuNjeqcwbrz5qUjzUpL9dolIM9Ui7Wo3ysCTtC6d/RaG1tjcsvvzwi/vuP/I02Pp4/f75/9HVkTcrHmsDW2SPlYj3Kx5qwI5Q+NCIiZsyYEYsWLYoJEyYM+X5HR0csWrQoZsyYUdBkzcualI81ga2zR8rFepSPNSFb6U+deqNqtRo9PT2xYsWKGD9+fBx++OHKumDWpHysSbk4dap87JFysR7lY03I0lChAdBohAYAzaohTp0CAAAai9AAAADSNXRoPPLII0WPAAC8Rf/+9783e+tUYHhquNB45ZVX4sorr4xDDz00Dj744KLHaUovvfTS4NfPPvtsXHDBBTF79uzo6ekpcKrmdPvtt8cBBxwQL7/88ibPrV27Nj7wgQ9YF5ra9OnTY+3atYOP586dG2vWrBl8/NJLL8UBBxxQwGTNacqUKfHiiy8OPv70pz8dvb29BU7Eq6++Gr///e8HH3/zm9+Mzs7Owf9mz54dr732WoET0sgaJjQWL14cp59+eowfPz4uueSSOOqoo+Lee+8teqym8vDDD8fEiRNj7Nixsf/++8eDDz4YhxxySFx22WVx5ZVXxpFHHhk33XRT0WM2lfnz58eZZ54Zu+666ybP7bbbbnHWWWfFpZdeWsBkUA633nprvP7664OPL7rooli1atXg4w0bNsQTTzxRxGhN6c3vZtxyyy3R19dX0DRERFx33XXxk5/8ZPDxggUL4q9//Ws88MAD8cADD8TPf/7z+PGPf1zghDSyUofG888/H3Pnzo0pU6bEJz/5ydh1113j9ddfj5tuuinmzp0bhxxySNEjNpWurq446KCDYvHixXHEEUfECSecEB//+Mdj7dq1sXr16jjrrLNi7ty5RY/ZVB566KGYNm3aFp8/9thj4/7776/jRFAub/7F1mk7MNQvfvGL+MpXvjLkezfccEPccccdcccdd8TFF18cv/71rwuajkZX2tA48cQTY7/99oslS5bE/PnzY/ny5fGjH/2o6LGa2n333RcXXnhhfPSjH41LLrkkli9fHjNnzoyWlpZoaWmJr33ta/H4448XPWZT6e3tjZ122mmLz48YMWLIaQoARapUKlv81GmK8dRTT8VBBx00+HiXXXaJlpb//Xp46KGHxmOPPVbEaAwDI4oeYEv++Mc/xte//vU4++yzY8qUKUWPQ0SsWrUq9thjj4iIGD16dIwaNSp23333wed33333eOWVV4oarylNmDAhHnnkkZg8efJmn1+yZEmMHz++zlNBefjFtlxqtVqcccYZsfPOO0dExGuvvRZf/epXN/l8me7u7iLGa0pr1qwZcnrhm/84NTAwMOR5eDtKGxp33313XHXVVfHhD384pk6dGqeeemp85jOfKXqspueAXS7Tp0+Pb3/72zFt2rTYZZddhjz36quvxne+85044YQTCpoOiretX2z9AlVfp59++pDHn//85wuahI06OjrikUceif3222+zzy9ZsiQ6OjrqPBXDRek/Gbyvry9+9atfxdVXXx1///vfo1qtxqWXXhpf/OIX493vfnfR4zWVlpaWOP744wcP2DfffHMcddRRQw7Yf/rTn6JarRY5ZlPp7e2ND33oQ9Ha2hqzZs0aPFA8/vjjccUVV0S1Wo1//OMfMW7cuIInbV4+GbxYX/jCF97S66655podPAmU0znnnBN/+ctf4v7779/sH6w+8pGPxNFHHx2XX355QRPSyEofGm/0xBNPxFVXXRXXX399rFmzJo455pj43e9+V/RYTcMBu5yeeeaZOPvss+PWW28dvNC1UqnEcccdF1dccUXss88+BU/Y3IQGUGa9vb3xwQ9+MEaOHBmzZs2KfffdNyL++zvXggULYsOGDfHAAw/4gxXbpaFCY6NqtRo333xzXH311UID/r/Vq1fHU089FbVaLaZMmTLk+hmKIzSAslu6dGmcffbZ8ec//3nIH6yOOeaYWLhwYbz//e8veEIaVUOGBkCjEBpAo1i1alU89dRTERExefLkGDNmTMET0eiEBsAOJDQAaFal/RwNAACgcQkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ0AACCd0AAAANIJDQAAIJ3QAAAA0gkNAAAgndAAAADSCQ2AHaharQ5+vXjx4iGPAWA4ExoAO0h3d3dMnTp18PH06dNj4sSJ0d3dXeBUAFAflVqtVit6CIDhpru7O0455ZR484/YSqUSERGLFi2KGTNmFDEaANSF0ABIVq1WY+LEibFs2bLNPl+pVKKjoyOWLl0ara2tdZ4OAOrDqVMAyXp6erYYGRERtVotnn322ejp6anjVABQX0IDINmKFStSXwcAjUhoACQbP3586usAoBG5RgMg2cZrNJ577rlNLgaPcI0GAM3BOxoAyVpbW+Pyyy+PiP/dZWqjjY/nz58vMgAY1oQGwA4wY8aMWLRoUUyYMGHI9zs6OtzaFoCm4NQpgB2oWq1GT09PrFixIsaPHx+HH364dzIAaApCAwAASOfUKQAAIJ3QAAAA0gkNAAAgndAAAADSjSh6AIDhZGBgIK699tro7u6O//znP1GpVGKfffaJU045JU499dRNPlcDAIYrd50CSFKr1eLEE0+MW265JQ4++ODYf//9o1arxT//+c94+OGH46STToqbbrqp6DEBoC68owGQ5Nprr43FixfHbbfdFkceeeSQ526//fb4xCc+ET/72c/itNNOK2hCAKgf72gAJDn22GPjqKOOijlz5mz2+YsuuijuuuuuuPXWW+s8GQDUn4vBAZIsWbIkpk2btsXnjz/++HjooYfqOBEAFEdoACRZtWpVjBs3bovPjxs3LlavXl3HiQCgOEIDIEm1Wo0RI7Z86Vtra2ts2LChjhMBQHFcDA6QpFarxRlnnBE777zzZp9//fXX6zwRABRHaAAkOf3007f5GnecAqBZuOsUAACQzjUaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQDqhAQAApBMaAABAOqEBAACkExoAAEA6oQEAAKQTGgAAQLr/B2yXWogfUgUFAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "newick_string = '(((A:1,B:1)H:0.5,(C:1,D:2)I:0.5)L:0.1,((E:1,F:1,G:1)J:0.5, K:0.5)M:0.1)N;'\n",
    "tree = read_topology(newick_string)\n",
    "plot_tree(tree,inc_names=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is exactly what we are expecting!\n",
    "\n",
    "### A real phylogenetic tree\n",
    "Now it's time to work on something real. Here is the Newick string of a smaller subset of the tree from Kawahara 2023 (DOI: 10.1038/s41559-023-02041-9), let's check if Hyperiax can make it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'(Baronia_brevicornis:0.1711,((Iphiclides_podalirius:0.0847,((Graphium_evemon:0.0688,(Graphium_sarpedon:0.0547,Graphium_agamemnon:0.0519)QS1811:0.0137)QS1810:0.0610,Protographium_marcellus:0.0923)QS1808:0.0132)QS1807:0.0653,(((Hypermnestra_helios:0.0444,(Parnassius_orleans:0.0179,Parnassius_honrathi:0.0312)QS1821:0.0276)QS1820:0.0604,((Archon_apollinus:0.0358,Luehdorfia_puziloi:0.0365)QS1826:0.0339,(Sericinus_montela:0.0897,(Zerynthia_polyxena:0.0241,Allancastria_cerisyi:0.0235)QS1831:0.0304)QS1828:0.0309)QS1825:0.0197)QS1819:0.0257,(Teinopalpus_imperialis:0.0958,(((Battus_polydamas:0.0359,Battus_belus:0.0434)QS1835:0.0877,(Pharmacophagus_antenor:0.0796,(((Trogonoptera_brookiana:0.0370,(Troides_rhadamantus:0.0207,Ornithoptera_richmondia:0.0196)QS1840:0.0224)QS1839:0.0081,((Euryades_corethrus:0.0483,(Parides_agavus:0.0307,(Parides_photinus:0.0265,Parides_eurimedes:0.0282)QS1844:0.0108)QS1843:0.0125)QS1842:0.0056,Cressida_cressida:0.0735)QS1841:0.0134)QS1838:0.0094,((Byasa_alcinous:0.0225,(Atrophaneura_semperi:0.0104,Atrophaneura_dixoni:0.0117)QS1847:0.0129)QS1846:0.0188,((Pachliopta_aristolochiae:0.0035,Pachliopta_kotzebuea:0.0050)QS1849:0.0278,Losaria_coon:0.0230)QS1848:0.0236)QS1845:0.0093)QS1837:0.0343)QS1836:0.0381)QS1834:0.0341,((((Papilio_aristodemus:0.0310,(Papilio_thoas:0.0091,Papilio_cresphontes:0.0088)QS1855:0.0266)QS1854:0.0368,(Papilio_slateri:0.0338,(Papilio_glaucus:0.0301,Papilio_troilus:0.0384)QS1858:0.0096)QS1856:0.0101)QS1853:0.0063,(Papilio_gigon:0.0646,((Papilio_xuthus:0.0353,(Papilio_polyxenes:0.0058,Papilio_zelicaon:0.0054)QS1866:0.0260)QS1863:0.0179,(Papilio_deiphobus:0.0214,(Papilio_protenor:0.0122,(Papilio_polytes:0.0113,(Papilio_phestus:0.0038,Papilio_ambrax:0.0033)QS1872:0.0089)QS1871:0.0099)QS1870:0.0070)QS1868:0.0398)QS1862:0.0075)QS1861:0.0459)QS1852:0.0595,Meandrusa_sciron:0.0910)QS1851:0.0272)QS1833:0.0141)QS1832:0.0172)QS1818:0.0204)QS1804:0.0453)QS1803:0.0000;'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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37hxcXFxQtWpVhduJRCLcu3fPgJGVZogvWI8fP0ajRo1gYWGBL774ArVr1wZjDDdv3sSyZcvw7t07nD17Fr6+vjovW8gePnyI69evAwDq1KlT4eovJNTQIIQQQkhJgmxoGBNDfcFKS0vD2LFjcejQIRR9ZCKRCB06dMDSpUtRvXp1vZQrREOHDsXGjRuRn58vt1wqlWLAgAGIi4vjJ7AKjBoahBBCCCnJKPpokA93efbv34+srCxu+Nbq1avD2dmZ58gMq1u3bti3bx9CQ0PRr18/roF19+5dbNq0CWvWrEFmZib27NnDc6SEEEIIIRWb4O9oyGQyxMXF4ciRI8jIyEBhYaHc+qNHj/IU2Qf0S65hmZmZYfz48YiJiSlz/cSJE/Hrr7+ioKDAwJFVbHQeEEIIIaQkwd/RmDhxIuLi4tCtWzduLg1ScclkMoSFhSlcHxYWpnIAAUIIIYQQon+Cv6Ph6uqKtWvXomvXrnyHUib6JdewHBwc4OrqiuvXr8PS0lJuXX5+PgICAvDvv//i5cuX/ARYQdF5QAghhJCSBH9HQyqVVqiOzkS5lStXol+/frC2toanpyecnJwAAFlZWXj27BlEIhG2bNnCc5SEEEIIIUTMdwCqTJkyBYsWLYLAb7wQA+nTpw8ePXqEfv36wcrKCunp6UhPT4eVlRX69++PBw8eICIigu8wCSGEEEIqPME/OhUREYHExEQ4OzujTp06MDc3l1u/bds2niL7gB4ZIYTOA0IIIYSUJvhHpxwdHekXaiInPz8fp06dQosWLWBmZobs7GxMnz4dMpkMo0aNQlBQEN8hEkIIIYRUeIJuaBQUFKBt27bo2LEjPD09+Q6HCMCWLVvQr18/FBYWwsLCAseOHUPr1q3x7t07AMDSpUuxevVqDB06lOdICSGEEEIqNkH30TAzM8Po0aO5L5GEjB49Gl5eXti2bRsCAgLQqlUruLm5ITc3F2/evIGfnx8iIyP5DpMQQgghpMITdEMDAJo0aYKLFy/yHQYRiBcvXmD58uWIiIjAkSNHkJ+fj1mzZsHa2hqWlpaIiYlBVlYW32ESQgghhFR4gn50CgDGjh2LKVOm4PHjx2jYsGGpTqZ169blKTLCFwsLCwDg5tGQSqXcupKDBRBCCCGEEH4IftQpsbj0TReRSATGGEQiEWQyGQ9R/Q+NtmNYzs7OcHNzw4YNGxAVFYUTJ07Az88PKSkpAIDg4GA8fPgQr1694jnSioXOA0IIIYSUJPg7GmlpaXyHQAQkJiYGw4YNQ+PGjSESibB9+3YMGjQIEokEAFBYWIh58+bxHCUhhBBCCBH8HQ2ho19yDS8jIwOHDh1C+/bt4enpiZcvX2LSpEnIzc3F8OHD0aVLF75DrHDoPCCEEEJISUbR0EhNTUVsbCxu3rwJAAgMDMTEiRPh7+/Pc2T0BYsQgM4DQgghhJQm+FGnDh48iMDAQPz999+oW7cu6tatizNnzqBOnTo4fPgw3+ERgcnIyMCSJUv4DoMQQgghpMIT/B2NkJAQdOrUCXPnzpVbHh0djUOHDuHChQs8RfZBVlYWnJ2dAQBz587F5MmT5UZBIoa1adMm9OvXDwI/rE0OnQeEEEIIKUnwdzRu3ryJESNGlFo+fPhw3Lhxg4eI/icqKgqurq7c++joaFhbWyMqKorHqAgxLDoPCCGEEFIWwY865ebmhkuXLqFGjRpyyy9dugR3d3eeovrw5Wr+/PmllstkMm45jX6ke2UNd1wc3ckwLDoPCCGEEKKI4B+dmjVrFmJiYhAdHY2PPvoIAHDy5En8/PPPiIyMxLRp09TKp7CwEJmZmQAAa2triEQirWPKz8+Hq6srCgsLFW4jFouRmZmp1eMjjDHk5eUBAFxdXVV+ua5IRCIRGjZsiNq1awMAzMzM5D7Le/fu4fjx48jJyeErxApD3+cB0R5dQwghhAiB4BsajDHExsZiwYIF+OeffwAAlSpVwtSpUzFhwgS1GwwZGRnw8PDQZ6h6kZ6ezuudG6Gxt7dHy5YtsW/fPr5DIcQo0DWEEEIIXwTf0Cju9evXAAA7OzuN01JDwzR07NgRubm5OHXqFN+hEGIU6BpCCCGEL4JvaKSlpaGgoKBUH407d+7A3Nwcfn5+auWTk5PDNVDS09PLNc7/0qVLER0drXK7uXPnYty4cRrnn5ubyzWKXr9+zc1PQD7Q5WdJtKfv84Boj64hhBBChEDwDY3WrVtj+PDhGDp0qNzy9evX448//kBSUpJa+ehyQrH8/HxYW1tDJpMp3EYikSAvL0+rZ9Np8jPlaP8Ig77PA6I9OkcIIYQIgeB7CF68eBHNmzcvtTw0NBSXLl0yfEAApFIpIiMjlW4TGRlJX6704ODBg1i3bp3csvnz58PJyQm2trbo2LEjT5FVPHQeEEIIIUQZwTc0RCIR1zejuFevXin9JVXf5s2bh6lTp0Iikcgtl0gkmDp1Kg3pqSfDhg2Ta2icOHECUVFRkEgkqF69Og4fPoyIiAgeI6xY6DwghBBCiCKCf3Sqe/fusLKywn//+1/uy4xMJkO/fv2Qm5uL/fv3q5WPvh4lyM/Px7Jly5Camgp/f3+MHTu23L/g0mMPipmZmSEmJgYTJkwAALRp0wanT5/GmzdvAACffvop4uPjuffEMPRxHhDt0TWEEEKIEAi+oXHjxg20atUKjo6OaNmyJQAgOTkZ2dnZOHr0KIKCgtTKx5j+8BpTrIYmEomQmJiItm3bAgAcHR0RFBSE5ORkAMDRo0cRFhZGE/eRCo2uIYQQQoRA8I9OBQYG4sqVK+jbty8yMjLw+vVrDBkyBLdu3VK7kUFMh1gsxq1bt7j3L1++RFhYGPe+aJIyQgghhBDCLzO+A1BHpUqV8OOPP/IdBhEAHx8ffP/993LLxo4dy/3/2LFjsLS0NHRYhBBCCCGkBEE2NK5cuYKgoCCIxWJcuXJF6bZ169Y1UFRECNavX4927dpx7/v06SM3Gdn69esREBDAR2iEEEIIIaQYQfbREIvFePbsGdzd3SEWiyESicp85l4kEqk98pQxPbNsTLHy4d9//4WrqyuA0vtn06ZNCAkJKTXBI9G/a9euobCwkBr/AkDXEEIIIUIgyDsaaWlpcHNz4/4vFB4eHoiIiMCPP/4IZ2dnvsOpsIo/GpWSkgI3Nzd4e3sDAPr27ctXWBVGamoqWrdujWfPnqFWrVq4ePEigoODkZKSAgCwtbVFcnIy6tevz2+ghBBCCOGVIO9oFPf27VudPHOvi1/4RCIR9//AwEB8/fXXGDx4cLljK4l+jVTuxo0bqFOnjtwysViMJk2aYPfu3dzdDqIfNWvWxMOHD9G9e3ccPnwYVlZWePnyJRYuXAiJRILIyEh4eHggNTWV71ArLLqGEEIIEQLBjzrl7u6OoUOH4vDhwygsLOQ7HOzcuRM9e/bEvXv38J///AdWVlb45JNPBHXnxZSlpqbK/VIeHh6Onj17ombNmjh9+jSqVKmCly9fYvXq1ejduzd/gZqw1NRULFq0CJs3b8aJEyfw7NkzTJ8+HWPGjMGoUaMwf/583L9/n+8wCSGEEMIzwTc01qxZg7y8PHz88ceoXLkyJk2ahHPnzvEWj7+/P7Zv3443b95g1apV8PPzw5YtW1CtWjX4+flhwYIFvMVWEfTp0wdi8f8O240bN2L79u24efMmLl++jMLCQgQFBWH48OH0eJueFO1jANy/tWrV4tbXqVNHED8KEEIIIYRfgm9oREREYPPmzUhPT8ePP/6IGzduIDQ0FDVr1sSsWbN4jW3YsGG4efMmnj9/jhEjRiArKwtffvklrzGZuqtXryI6OrrMdXXr1sW3336LJ0+eoE2bNlixYoWBo6sYLC0tsWjRIgDgzsG4uDhu/fLly2FhYcFHaIQQQggREMH30SjLjRs3MGjQIFy5csWgo06JRCJcu3atVP+A4g4ePIhOnTppnHdx9Hy1YiKRCMeOHUPr1q0BlN4/Z8+eRZMmTWhmcD0aO3YsfvvtN5ibm+P9+/eIjIxEbGwsKleuDJFIhIcPH+KTTz7Bpk2b+A61wqJrCCGEECEQ/B2NIm/fvsWmTZvQs2dPNGjQAC9evMDUqVMNGoOjoyP3x1uR8jYyiHJisRjnz59XuP7MmTNyj1YR3Vu2bBmWLVuGTp06Yfny5ViwYAG2b98Oc3NzyGQyjBw5khoZhBBCCBH+HY2DBw/izz//xI4dO2BmZoY+ffpg0KBBaNWqlUb5GNMvfMYUq6HVrFkT6enpyM7OBiC/f7Kzs+Hr6wt3d3duqFVCKiK6hhBCCBECQc6jUVxERATCw8Oxdu1adO3aFebm5nyHBAB4+PAhrl+/DuBD51dfX1+eI6oYNmzYgNDQUO79zJkzYWZmhgsXLiAhIQGFhYXYv38/jxESQgghhBDACO5ovH79GnZ2duXOR1e/8A0dOhQbN25Efn6+3HKpVIoBAwbIdYrVFv0aqdzBgwfRuXPnUstdXFwQHx+PsLAwHqIiRTZt2oR+/fpRPxke0TWEEEKIEAj+joadnR1SU1OxevVqbvx+d3d37N+/H76+vko7Zutat27dsG/fPoSGhqJfv36oXr06AODu3bvYtGkT1qxZg8zMTOzZs8dgMVVELVq04P7/22+/wcLCAq1atYK/vz+PURFCCCGEkOIEf0fj2LFj6NKlC5o3b47jx4/j5s2bqFatGubOnYtz585hy5YtauWji1/4zMzMMH78eMTExJS5fuLEifj1119RUFCgcd66jtWU0f7hV6VKlZSuf/v2LbKysuiOBo/oHCGEECIEgh+eJzo6GnPmzMHhw4chlUq55e3atcPp06cNGotMJlP6WE5YWJjaw+0SYqyePn2KgoIC2NjYlPmiOTQIIYQQAhhBQ+Pq1auIiIgotdzd3R2ZmZkGjcXe3h4TJ07E27dvS63Lz8/H5MmT4eDgYNCYCDE0S0tLdO3aFXfu3CnzFRsby3eIhBBCCBEAwffRcHR0xNOnT1G1alW55RcvXkTlypUNGsvKlSvRr18/WFtbw9PTE05OTgCArKwsPHv2DCKRSO1HuQgxVt7e3krnMrGxsYGZmeAvLYQQQgjRM8Hf0ejfvz+++uor7ot8YWEhTp48iS+//BJDhgwxaCx9+vTBo0eP0K9fP1hZWSE9PR3p6emwsrJC//798eDBgzLvvhBiSs6fP4/ExESF68PDw/H+/XsDRkQIIYQQIRJ8Z/D8/Hx88cUXiIuLg0wmg5mZGWQyGQYOHIi4uDhIJBK18jGmzpHGFCsfaP8QohydI4QQQoRA0Hc0GGN49uwZFi9ejHv37mHPnj1Yv349bt26hXXr1qndyNCl/Px8JCUlcSNLZWdnY/LkyZgwYQKuXbtm8HgI4QOdB4QQQghRRdB3NAoLC2FpaYnr16+jRo0a5cpLF7/wbdmyBf369UNhYSEsLCxw7NgxtG7dGu/evQMAiEQirF69GkOHDuU9VlNG+4dfhjoPiPboHCGEECIEgr6jIRaLUaNGDfz77798hwIAGD16NLy8vLBt2zYEBASgVatWcHNzQ25uLt68eQM/Pz9ERkbyHSYhekXnASGEEELUIeiGBgDMnTsXU6dOFcTjGC9evMDy5csRERGBI0eOID8/H7NmzYK1tTUsLS0RExODrKwsvsMkRK/oPCCEEEKIOgQ/BuWQIUOQl5eHevXqQSqVwsrKSm79ixcvDBpP0WRklpaWACA3iaC5ublBYyGEL3QeEEIIIUQVQffRAIA1a9YoXa/uc+C6eGbZ2dkZbm5u2LBhA6KionDixAn4+fkhJSUFABAcHIyHDx/i1atXGuet61hNGe0ffhnqPCDao3OEEEKIEAj+joaQOpTGxMRg2LBhaNy4MUQiEbZv345BgwZxo18VFhZi3rx5PEdJiH7ReUAIIYQQdQj+jgYAyGQybN++HTdv3gQABAYG4uOPP9Zo9mFd/cKXkZGBQ4cOoX379vD09MTLly8xadIk5ObmYvjw4ejSpYtW+eojVlNF+4d/hjgPiPboHCGEECIEgm9oXL9+HT169MCzZ89Qq1YtAEBKSgrc3Nywe/duBAUFqZWPMf3hNaZY+UD7hxDl6BwhhBAiBIIfdWrkyJGoU6cOHj9+jAsXLuDChQt49OgR6tati1GjRvEdnpyMjAwsWbKE7zAI4RWdB4QQQggBjKChcenSJfz0009wcnLiljk5OeGHH37AxYsX1c5HJpNx/z9+/Ljce11JSkrChAkTyp1Pfn4+9/+lS5fKvSe0f4ROV+cB0R6dI4QQQoRA8A2NmjVrIj09vdTyjIwMVK9eXa08iiYWK9K1a1f4+flh27ZtOotTV6KiouDq6sq9j46OhrW1NaKioniMSjho/xCiHJ0jhBBCBIMJ0KtXr7jX3r17WZ06ddjmzZvZo0eP2KNHj9jmzZtZcHAw27t3r8q8tm7dykQiEQMg9xKJREwkErGtW7eqHVdRGkWvory1NXXq1FJxFn9NnTpV67xNAe0fYdD3eUC0R+cIIYQQIRFkZ3CxWAyRSMS9LwqxaFnx98oegZLJZPDz88Pjx4/LXC8SieDt7Y20tDRuaE5lRCIRGjZsiJCQkDLXp6amIjExkbsDY21tLVcPZfLz8+Hq6orCwkKF24jFYmRmZspNjqYIYwx5eXkAAFdXV4jF+rl5VVhYiMzMTACa1VdTut4/mjLU/jSE8n5mtra2CAkJQb169cpcf+/ePRw/fhw5OTnljpWoj+9zhBiOKV2PCCGmTZANjWPHjqm9bevWrRWuS0pKQtu2bVXmkZiYiDZt2qjczt7eHu3bt1f4yNWmTZvQr18/lfkYWnp6Otzd3fWSd0ZGBjw8PPSSt1Dpc38aQkX8zAgxVcZ+PSKEmDZBTtinrPGgyNixYzFr1iy5Z5OfPn2qVlp1twsNDUVWVpbC9VWqVEHVqlWRlpamVn6EEEIIIYSYKkHe0dCGvb09Ll26hGrVqnHLdH1HQx05OTmws7MD8OGXJnXHr1+6dCmio6NVbjd37lyMGzdO5Xa5ubncr9avX7/mxtTXNW3rqyld7x9NGWp/GoKhPjNiWHyfI8RwTOl6RAgxbSbT0LCzs8Ply5flGhpFfTSePHmCsqqpaR8NdWg7UVZ+fj6sra2V9jmRSCTIy8tT6/lqQ03YZahydL1/NGVKE6CZUl3I//B9jhDDoXOYEGIsTLoHmUQiwaJFiwCgVIfXovexsbFqNzIOHjyI1atXyy2bP38+nJycYGtri44dO2odq1QqRWRkpNJtIiMjK+wXBNo/wqHP84Boj84RQgghgsPHUFf6YGtry1JTU8tct3XrVubt7S03zKOPj49GQ9syxpiXlxdr2bIl9/7YsWMMAHNxcWH16tVjAFh4eDhXRk5Ojsb1mDp1KpNIJHKxSiQSjYelzMnJKVccQiuniK72j6YMXU99Km9d1DkPevbsqcuQiQb4OkeI4ZjS9YgQYtpM+tGp4mQyGZKTk/H06VN4eXmhZcuWGj8uZWZmhmXLlmHUqFEAgPbt2+PkyZN48+YNAODTTz9FfHw83r59C0D7W9r5+flYtmwZUlNT4e/vj7Fjx2r8K6SpPTpVnC72j6ZM6VGF8tZF3fOg6D0xPD7OEWI4pnQ9IoSYtgrT0NAFkUiE06dPo2nTpgAAZ2dn1KlTB8nJyQCAo0ePIiwsjNuezz8AptzQ4IMp1bO8dVH3PDCRSwshgmNK1yNCiGkzmT4agwcPhr29vV7LEIvFuHHjBgCgoKAAWVlZcg2LogmUCDFldB4QQgghRB2CnEejLHl5eXj48CHy8/PlltetWxcA8Ntvv+k9Bh8fH0RHRyMwMBA//vgjgA/zdxQ5duwYLC0tuUenCDFF6p4HhBBCCKnYBN/QeP78OYYNG4b9+/eXuV7ZUI66tn79erRr1w6hoaEAgP79+8vNyLp+/XrUqlULly9fNlhMhBiaOudBQEAAX+ERQgghRCAE/+jUpEmT8PLlS5w5cwZWVlY4cOAA1qxZgxo1amDXrl1K0x44cAAnTpzg3v/666+oX78+Bg4cqHSGb0VatGiB7OxsxMfH4/z58/jvf/8rt37RokVYs2aNxvkqU1hYqNP8jF1+fj6uXbuGmzdv8h1KhaXOeRAfH89TdIQQQggRCsE3NI4ePYqFCxeiUaNGEIvFqFKlCgYPHox58+bhp59+Upp26tSpyM7OBgBcvXoVU6ZMQdeuXZGWlqZyvHlFLC0t0bdvXzRo0AC3b9/G48ePuXV9+/ZF9erVNc4zOzsbjRo1goODA7p06QLgw0g+IpEIEokEfn5+cuVURDNmzICDgwMsLCwQHByMwMBAiEQiVKtWDX/99Rff4VU4qs6DGjVq8BhdxXPp0iWMGTMGM2fORE5Ojty6jIwMtGvXjqfICCGEVGSCb2jk5uZyj2U4OTnh+fPnAIDg4GBcuHBBadq0tDQEBgYCALZu3Yrw8HD8+OOP+PXXXxU+iqXKgwcPEBwcDLFYjNq1a8PHxwcSiQTNmjVDZmamVnm2bdsWFy9eRI0aNXD06FEEBwcjKSkJY8aMwbhx4/DPP/+gW7duWuVtCkaPHo2ZM2eiRo0aaN68OcRiMUJDQzFgwAC8ePECzZs3x+HDh/kOs0LRx3lAtLNmzRo0aNAAy5cvx4wZM+Ds7IydO3dy6zMyMpCYmMhjhIQQQioqwffRqFWrFm7fvg0/Pz/Uq1cPv//+O/z8/LB8+XJ4eXkpTSuVSrkRcBISEjBkyBAAH4bjLLrToYnU1FQEBATg/fv3qF27NmrXrg0AuHXrFk6fPo0qVaogJSVF43wvX76Mn376CVFRUUhKSkLbtm3x9ddfcx1tK1eujO+++07jfE3F6tWrMWHCBG6W97Vr12L48OE4efIkxGIxfH19MXToUPzzzz88R1oxqHMePHnyBNu3b8eePXuwdetWniM2bZGRkahevTpu3LiBjIwMdOzYEREREdiwYQMGDBjAd3iEEEIqMME3NCZOnIinT58CAKZPn47OnTtjw4YNkEqliIuLU5q2RYsWiIyMRPPmzfH3339zz42npKTA29tb41j69OkDsViMq1evIigoSG7dlStX0LRpUzRp0kTjfGUyGVq2bAkAaNOmDQBwcxQU1cOQnd6FJj8/H5988gn3fsiQIRg6dCguXbqEBg0aYObMmRgxYgSPEVYs6pwHQUFBePLkCUaOHMlTlBVHVlYW/vzzT5iZmaFSpUq4du0aOnfujEGDBiE/Px8NGzbkO0RCCCEVlOAfnRo8eDA+/fRTAEDDhg3x4MEDnD17Fo8ePUK/fv2Upl26dCnMzMywZcsW/Pbbb6hcuTIAYP/+/ejcubPGsVy9ehXTpk0r9eUK+DDM7rfffqvVr+pSqRQbN24EAK4zefFHHzZv3gxzc3ON8zUVUqkU27dv595v2LABALjPwdfXlyaHMyB1zoMnT56gTZs2WLFiBQ8RVjyvX7+We3/gwAF07doVw4YNw7p163iKihBCSEVnMjODG4JIJMLff/+Nxo0bl7n+7Nmzcnc01J2xNSIiAjt27ICzszOysrLQq1cvbN++nesAf/r0abRr1w5HjhxRO1ZTmhm8b9++2Lx5M5o0aQJLS0ucOHEC1atXx+3btwF8mMMhLi5OrxPFmdJMvLqYGVyd84AuLYbh4OCAbt264c8//yy1rmvXrlx/NPo8TIcpXY8IIaZNkI9ORUZGYvbs2bCxsVE5OtTChQsVrnv48KHStL6+vhrFJRaLcfbsWYVfsM6cOQOxWKzxkLTbt2/HF198geTkZAwcOBBLlixBbGwspk+fjoKCArRp0wYHDx7UKE9TsmnTJgwYMAB79+6FTCZDaGgo9u7dy62PiIhAeHg4jxFWLOqeB8QwevbsieTk5DLX7du3D126dEFCQoKBoyKEEEIEekejbdu22L59OxwdHdG2bVuF24lEIhw9elTherFYDJFIpHC9pv0eatasiYyMDDx+/Jj7NalIdnY2fH194erqitTUVAD8/tJkSnc0hMCU6lneuqhzHri7u2s1MAIhRDVTuh4RQkybIO9oFB+KsTzDMl68eFHu/fv373Hx4kUsXLgQP/zwg8b5bdiwAaGhoXB0dETHjh0REhICxhguXLiAhIQEFBYWYtu2bQgLC9M65ocPH+L69esAgDp16mh814UQfVPnPNB2+GiiO4WFhSgoKIBUKuU7FEIIIRUVq4D27NnDWrdurVXaY8eOMVdXVwZA7uXi4sISEhJYTk4OtywnJ0ftfIcMGcKkUmmpfKVSKRs6dKjGcWobh1DLUSY+Pp7p+1AWQj11RRd1UXUeEMN58+YNa968OXNwcGCtWrVijDHWtWtX7jOpVq0ae/36Nc9REl0ypesRIcS0CfKORnG5ubmYO3cujhw5goyMjFL9H+7du6dxnrVq1cLZs2e1iqdVq1Z4/vw50tLSkJSUxC3z9/fn4tVUt27dsG/fPoSGhqJfv37c7OJ3797Fpk2bsGbNGmRmZmLPnj1axUyIrqk6D4jhdOjQAX/99RdCQkJw5swZ1KlTB7dv38aYMWNQUFCAlStXom/fvti3bx/foRJCCKlgBN/QGDlyJI4dO4b//Oc/8PLyUtrnoqSSk/IxxvD06VPMmDEDNWrUKFdcVatWRdWqVcuVR5GDBw9i0qRJiImJKbVu0qRJmDhxIn799VedlGWMKlWqpHT927dvDRQJKUmX5wHRzunTp/Htt99i1qxZOHLkCNq3by83waWNjQ1+++03nqMkhBBSEQm+obF//37s3bsXzZs31zito6NjqYYJYww+Pj7cvBVCIJPJlPbrCAsLw+LFiw0YkbA8ffoUbm5ucHBwKHM9E954BoQYTEFBAbp16wYA3HWkU6dO3PqIiAjExsbyERohhJAKTvANDScnJzg7O2uVtmRHcrFYDDc3N1SvXh1mZsKpur29PSZOnIj27dvD0tJSbl1+fj4mT56s8Et2RWBpaYmuXbsqnAk+Pj4e/fv3N2xQhAiEWCzG48eP0bRpUwCAnZ0d3N3dufU5OTl8hUYIIaSCE863bQVmz56N77//HmvWrIG1tbVGaVu3bq2nqHRr5cqV6NevH6ytreHp6QknJycAQFZWFp49ewaRSIQtW7bwHCV/vL29cf78eYXrbWxsBNVwJMSQ7O3tceDAAfTu3RtA6UdGExISNL52EkIIIbog+G9nCxYsQGpqKjw8PODn5wdzc3O59RcuXJB7v2vXLnTp0gXm5ubYtWuX0rx79Oih83i10adPHzx69AhTpkzB33//jfT0dAAfZvzt378/5s2bB29vb56j5M/58+eRn5+vcH14eDjev39vwIgIEY6NGzfCyspK4fp3795h1KhRBoyIEEII+UCQE/YVN3PmTKXrp0+fLvdeLBbj2bNncHd3Vzo7sUgk0njCPnUIZSIlmrBPt0ypnqZUF0IqIjqHCSHGQvB3NEo2JFQpPvxtyaFwhSw/Px+nTp1CixYtYGZmhuzsbEyfPh0ymQyjRo1CUFAQ3yHyivYPIYrR+UEIIUSIBH9Ho8j58+dx8+ZNAB9mzA4JCVG6/fv379G5c2csX7683EPZakKbX5q2bNmCfv36obCwEBYWFjh27Bhat26Nd+/eAfhw92X16tUYOnSoXuPQhiHK0cf+0ZQp/YJoSnUh6p0fK1euxLBhw3iOlOgKncOEEGOh+NkigcjIyEC7du3QuHFjTJgwARMmTEDDhg0RFhaG58+fK0xnbm6OK1euGDBS7Y0ePRpeXl7Ytm0bAgIC0KpVK7i5uSE3Nxdv3ryBn58fIiMj+Q6TN7R/CFFMnfPjyy+/5DtMQgghFZDgGxrjx4/H69evcf36dbx48QIvXrzAtWvXkJ2djQkTJihNO3jwYKxcudJAkWrvxYsXWL58OSIiInDkyBHk5+dj1qxZsLa2hqWlJWJiYpCVlcV3mLyh/UOIYnR+EEIIESrB99E4cOAAEhISEBAQwC0LDAzEr7/+io4dOypNW1BQgFWrViEhIQENGzYsdXt54cKFeolZGxYWFgDAzaMhlUq5dSVH2qqIaP8QohidH4QQQoRI8Hc0CgsLy/xDaW5urrKz97Vr19CgQQPY2dkhJSUFFy9e5F6XLl3SU8Sac3R0xLhx43Du3DmEh4fD3NxcbrStr776CnZ2djxGyC/aP4QoRucHIYQQoRL8HY127dph4sSJ+O9//4tKlSoBAJ48eYLJkycjLCxMadqSM4MLVUxMDIYNG4bGjRtDJBJh+/btGDRoECQSCYAPja158+bxHCV/aP8QohidH4QQQoRK8KNOPXr0CD169MD169fh4+PDLQsKCsKuXbsEN5GdtqOBZGRk4NChQ2jfvj08PT3x8uVLTJo0Cbm5uRg+fDi6dOlikDg0ZahydL1/NGVKo7yYUl3IB3yfH8Sw6BwmhBgLwTc0AIAxhoSEBNy6dQsAEBAQgPbt25e5ba9evRAXFwd7e3v06tVLab7btm3TeaxC+QNgag0NvplSPU2pLoRURHQOE0KMhaAfnXr//j2srKxw6dIldOjQAR06dFCZxsHBASKRiPu/KcjIyEB8fDzGjx/PdyiCRPuHEMXo/CCEEMIXQXcGNzc3h6+vL2QymdppVq9ezXV8XL16tdKXPuTn53P/X7p0qdx7bSUlJakcyrek4vvs+PHjGu1DTeijvprSZv9oSgj11BVDHRtEGAxxfhDDMqXrESHEtAm6oQEA3377Lb755hu8ePGC71BUioqKgqurK/c+Ojoa1tbWiIqKMmgcRRN3FenatSv8/Px0/qiYUOqrb6ZUT0MdG4QQ/TCl6xEhxPQJvo9GSEgI7t69i/fv36NKlSqlnkW9cOFCqe2LHp1SpWTa8oiKisL8+fMVrp86darCkV/EYuXtvaKPSJ2Patu2bejTp0+pbYv2yZYtW1T2XVFHeeqrKV3uH00Zsp76ZqhjgxgWn+cHMSxTuh4RQioGwTc0io8HX5bp06drtL2ytIoUFhYiMzMTAGBtbV2qIZOfnw9XV1el83qIxWJkZmbKTaQFfPjjb2dnh3r16qFRo0ZlNpJSU1ORmJio8ouCTCaDn58fHj9+XOZ6kUgEb29vpKWlcUNflkXf9c3LywMAuLq6qvySVBR3w4YNERISUuZ6dfaPqjqVpTz1LIs2ddcVXR0bxk6b40DobG1tERISgnr16pW5/t69ezh+/DhycnIMHBnRJV1fjwgRAj7/LhIDYUSl9PR0BkDvr/T09DLLj4+PZ+p8VImJiWqVk5iYKOj6lmRnZ8ciIiIUrldn/xiqTrquu67o6tgwdkI7DuhFL3rRi14fXob+u0gMg5qORqBKlSqoXr26yu2ePn2qVn7qbicUoaGhyMrKUrhe3f1TkZnqsUEIIYQQ4RL08LbAh0c+YmJisGnTJjx8+LDU6BrKOomXJ21x1tbW3P/T09NL9RNZunQpoqOjVeYzd+5cjBs3Tm5Zbm4uPDw8SpVTXNOmTXHnzh2V+Xt5eancRp3t+K5vSYcOHVK6Xp39o6pOZSlPPcuiTd11RVfHhrHT5jggRAh0fT0iRAj4/LtIDITvWyqqTJs2jXl5ebFffvmFWVpastmzZ7MRI0YwFxcXtmjRIr2lLS4nJ4e7tZeTk1Nq/bt375hEIlF6S1AikbB3795pnLcmCgoKmLe3NxOJRGXGIBKJmI+PDysoKDCJ+mpCm3LLU09dxaArujo2jB2fnwEh5aHr6xEhQkDXZNMn+EenNmzYgBUrVmDKlCkwMzPDgAED8Mcff+D777/H6dOn9ZZWE1KpFJGRkUq3iYyM1KiD3vz58+Hk5ARbW1t07NhRrTQSiQSLFi0CgFKdXIvex8bGlruzrz7qq8zBgwdLzXuizf7RlKHrqU+GOjaI4fF1fhDDMqXrESGkAuG7paOKtbU1e/DgAWOMMU9PT3b+/HnGGGOpqanM3t5eb2mLU7fFPXXq1FK/OEkkEjZ16lSN8j527BgDwFxcXFi9evUYANazZ0+14926dSvz9vaWi8PHx4dt3bpVkPVVxcvLi7Vs2ZJ7r83+Kc+vJtrUU9cx6Ep5jw1jJ4TPQNd0cX4Q46Gr6xEhQmCK12QiT/ANjZo1a7LTp08zxhhr3rw5++mnnxhjjG3cuJG5ubnpLW1xmpwI7969YzExMWzcuHEsJiZG5W3ssvIOCwtjlpaW3DZDhw6Ve6+OgoIClpiYyP7880+WmJio0SMxhq6vKhKJhP3+++/ce232T3kvZprWUx8x6Ep5jg1jJ5TPQJd0cX4Q46KL6xEhQmCK12QiT/ANja+++or98MMPjLEPDQQzMzNWvXp1JpVK2VdffaW3tMXp80QoK28nJyfWokULbpsjR44wQ958MnR9VQHANRgZ027/COFiJoQYKjpT/Ax0cX4QQggfTPGaTOQJftSpuXPncv/v168ffH198ddff6FGjRro3r273tLypaCgAFlZWQgLC+OWFU1mU1GJxWLcuHEDTZs2pf1DSAl0fhBCCBEqwTc0SmrWrBmaNWtm8LSGcPbsWcTExAAAxo4dyy0/duwYLC0t+QqLdz4+PoiOjkZgYCB+/PFHALR/CClC5wchhBChEnxD499//4WLiwsA4NGjR1ixYgXevHmDHj16oGXLlqW237Vrl9p59+jRQ2dx6kLbtm0BAP3794e7uzu3fP369QgICOArLN6tX78e7dq1Q2hoKADaP4QUR+cHIYQQoRJsQ+Pq1avo3r07Hj16hBo1amDjxo3o3LkzcnNzIRaLERMTgy1btqBnz55y6Uq+F4lEYIyVWgZ8mNBP17KzswEA9vb2Gqddu3Yt6tSpgwYNGsgtX7RoEUJCQnQSnzFq0aIFsrOzsWvXLlSvXp32j468fPkSjo6OfIdByonOD0IIIUIl2Hk0oqKiEBwcjOPHj6NNmzYIDw9Ht27d8OrVK2RlZeHzzz+X64NRpLCwkHsdOnQI9evXx/79+/Hy5Uu8fPkS+/fvR4MGDXDgwAGdxTp37ly4u7tDLBbDwcEBDg4OEIvFcHd3x7x589TOp1evXmjQoAFu376Nx48fc8v79u2LGjVqqEx/4MABnDhxgnv/66+/on79+hg4cCCysrI0q5QSu3btQlBQEKytrSGRSCCRSGBtbY2goCCN7ihpwtLSEn379i3X/imPCxcuoHXr1vDz80OjRo2wb98+vZanaz///DPi4+O593379oWLiwsqV66My5cv8xgZ0QW+zw+if3PnzkXr1q2xYMECAMCSJUvg5uYGJycnDB8+nOfoCCFEAb57oyvi4uLCLl++zBhj7PXr10wkErFz585x62/evMkcHByU5lGnTh2WnJxcavnx48dZ7dq11Y5F2agII0eOZACYr68vGzFiBJs5cyabOXMmGzFiBKtSpQoDwD7//HO18g4MDJSbuVksFrPQ0FD2/PlzteIMCgpie/fuZYwxduXKFWZhYcG+/vprFhoayj799FOd1HfmzJkMALO1tWWtW7dm/fv3Z/3792etW7dmdnZ2DACbM2eOVnkrc//+fRYUFKT1/tG0XADsxo0bjDHGdu7cyQAwc3Nz5u3tzaRSKQPANm/erHb82sSgS35+fuzkyZOMMcYOHTrEHB0d2cGDB9mIESNYhw4dDBoLn0x1hJPynh9E2EaPHs0AMCsrKwaAjRgxgolEIlarVi1Wo0YNBoBFRkbyHSYhGjPVazL5H8E2NEQiEUtPT+fe29rastTUVO79s2fPmFgsVpqHpaUlu3r1aqnlly9f1mhceWUngrm5Ofvkk08Upu3Xrx8zNzdXK28ArHbt2qxnz56sZ8+erHbt2gwAs7a2ZllZWWzVqlWsV69eCvOysbFhaWlpjDHGpk+fznr37s0YY+z8+fPMw8NDJ/W1tLSUmxyspNatWyvdt9pcVO7evcvMzc3LtX+0aWhcu3aNMfZhskcPDw/25s0bxhhj79+/Z76+vszd3V2t+LWNQZcsLS3Zw4cPGWOMTZgwgY0aNYoxxtjt27eZo6OjQWPhkyn+UdPF+UGEzcrKivvs5s2bxwCwjz/+mFsfHh7O7OzseIqOEO2Z4jWZyBPso1PA//pSKHqvSuPGjREZGYn09HRuWXp6OqZOnYomTZroJMb3799j2LBhCtcPHToU79+/VyuvM2fO4ObNm9i+fTu2b9+Omzdv4vLlyygsLERQUBCGDx8OZ2dnhemlUik3lGVCQgI6duwIAHB2dub6jpTX27dv8fXXXytc/9VXX+Ht27c6KatInz59IBaLcfXq1XLtH209f/4c3333HTdyj5mZGebOnYvMzEydl6UvTk5OePToEYAPj9i1b98eAMAY00tfJWI4fJ8fRP/evHmDiRMnAgCmTp0KABg8eDC3fsyYMcjJyeElNkIIUUawncEB4NNPP4WFhQWAD19wR48eDRsbGwDAu3fvVKZftWoVIiIi4OvrCx8fHwDgOpfv2LFDJzFaWVlh+vTp6NKlS5nrZ8yYASsrK7XyqlOnTqlldevWxbfffotp06ahTZs2WLFihcL0LVq0QGRkJJo3b46///6beyY/JSUF3t7easWgilQqxfLlyxXWd/ny5ZBKpTopq8jVq1cxc+ZMBAUFlVqnyf7RlFj8v3a4p6en3LrKlSujsLBQZ2XpW69evTBw4EDUqFED//77L/f5Xbx4EdWrV+c5OlIefJ0fxHBEIhFyc3Pllrm6unL/t7W1LTXoCSGECIFgGxpDhw6Ve1/815siQ4YMUZpH9erVceXKFRw+fBi3bt0CAAQEBKB9+/Ya3x1R5Mcff8TkyZNhZWWFwMBAbljJjIwM3LhxA2/fvsXixYvLVUanTp0wbdo0JCYmKt1u6dKlGDt2LLZs2YLffvsNlStXBgDs378fnTt3LlcMRb744gvExMTA09MTzZs35xowjx8/xqlTp/Ds2TN8+eWXOimriEwm4+7OlEXd/aOpooYfYwxHjhxBnz59uHWnTp2CmZlgT59SYmJi4Ofnh0ePHmHevHmwtbUFADx9+lRuzgVifPg6P4jhWFlZITk5mfuB4NGjR6hUqRK3/vTp0zA3N+crPEIIUUiw35RWr16tk3xEIhE6duyo9A9xeUyaNAmNGjXClClTcPv2bVy9ehUAYG1tjXr16uGXX35BixYtylXGmTNn5H5dV8TX1xd79uwptbxoEkBdWLhwIWrVqoUffvgBO3fu5B67kUgkqFSpEn7//XeMGjVKZ+UBH+4snD17Fo0bNy5zvbr7RxMjR46Ue9+wYUO594cPH0bdunV1WqY+mZubl9kAnDx5Mg/REF3i4/wghjVu3Dh4eXlx70veoT569CiaNm1q6LAIIUQlETPx+63Hjh3DL7/8gps3bwIAAgMDMXXq1DIn+1MkNzeX+wU4JyeHe3xLF4rn/ezZM3h4eMitz87Ohq+vL9zd3ZGSkqI0r4cPHypd7+vrq3FM+qyvunnXrFkTGRkZePz4MZe2iLr7R591UpehY9i1axe6dOkCc3NzlcMOC23ySn0RwnGga7o4PwghhA+meE0m8gR7R0MX1q9fj2HDhqFXr16YMGECAODEiRMICwtDXFwcBg4cyHOE8ipXroyOHTsiJCQEjDFcuHABCQkJKCwsxP79+1Wm9/PzU/pImLF2+t2wYQNCQ0Ph6OhYrv1T0fTs2RPPnj2Du7t7qYksixOJREZ7bBA6PyqywsJCFBQU6LxfHCGE6Ax/A17pX+3atdnChQtLLV+wYIHO5tFQJT4+ninbzcXzdnFxkRvqtmhZQkKCWmVdunRJ7nX27Fn2f//3f6x27dps69atasesqr4zZsxgNWvWZI0bN2a7d++WW3fv3j2lw6Vquy+PHTvGXF1dtd4/2pRbvJ5F85MUUVVPXcVAdMtUP4Pynh9E2N68ecOaN2/OHBwcWKtWrRhjjHXt2pX7nKtVq8Zev37Nc5SEaM5Ur8nkf0z6jsa9e/fQvXv3Ust79OiBb775hoeIlHvw4AEyMjKQlJQEAGjVqhX8/f3VTl+vXr1Syxo1aoRKlSph/vz56NWrV7lj/OKLL7Bs2TK4u7vj2bNn6N69O8aMGYNly5YB+HAb9OXLl+Uup6RWrVrh+fPnSEtL03r/aKJkPbt162aQehKiDUOfH8SwOnTogL/++gshISE4c+YM6tSpg9u3b2PMmDEoKCjAypUr0bdvX+zbt4/vUAkhRI5JNzR8fHxw5MiRUsN3JiQkcMPdllfxkT/KoumcElWrVkXVqlXLE1IptWrVwtmzZ3WS1+rVq9GrVy9s3boVwIfOxLGxscjLy0NcXJxOylBGH/unLHzXUxc0Ge2s6NFCYtwMdX4Qwzp9+jS+/fZbzJo1C0eOHEH79u0xYcIELFq0CABgY2OD3377jecoCSGkNJNuaEyZMgUTJkzApUuX8NFHHwEATp48ibi4OO4CXV5Pnz6Fm5sbHBwcylzPDNjXvuSkfIwxPH36FDNmzECNGjV0UkbxiaOADyNa+fj4YMqUKcjPzxfknSJtmEI91R1tTCQSUUODEAErKChAt27dAABhYWEAPgxbXCQiIgKxsbF8hEYIIUqZdENjzJgx8PT0xIIFC7Bp0yYAH+bRiI+Px8cff6yTMiwtLdG1a1eFv3LHx8ejf//+OilLFUdHx1KdwRlj8PHxwcaNG3VShlgsRkpKClq1asUti4yMhEQiwaRJk1SOfGUsTKGeaWlpfIdACNEBsViMx48fc0PY2tnZcXM2AaBZwQkhgmXSDQ3gwy89EREResvf29sb58+fV7jexsbGYBO7lZyQSywWw83NDdWrV9dZDO7u7li3bl2peSYmTpwIxpjJzMtQUepJCBE+e3t7HDhwAL179wZQ+u51QkICrK2t+QiNEEKUMvmGBgCcO3dObh6NkpOvlcf58+eRn5+vcH14eDjev3+vs/KUad26td7LiI6OVtjhcNKkSSgsLDSJZ4VNsZ6PHz/Grl278PDhw1LH7MKFC3mKihCiysaNG2FlZaVw/bt373Q+USohhOiCSU/Y9/jxYwwYMAAnT56Eo6MjAODly5f46KOPsHHjxlKzqyoitAnsilM1EVtx6k7KJuT6Glu5QonhyJEj6NGjB6pVq4Zbt24hKCgI9+/fB2MMDRo0wNGjRw0WC5+EcBwQQgj5gK7Jps+k72iMHDkS79+/x82bN1GrVi0AwO3btzFs2DCMHDkSBw4c0Ek5+fn5OHXqFFq0aAEzMzNkZ2dj+vTpkMlkGDVqFIKCgnRSTlmUTcRWnC4nZeOzvoZkSvX8+uuv8eWXX2LmzJmws7PD1q1b4e7ujkGDBqFz5858h0cIUcGUrkeEkAqEvyk89M/S0pJduHCh1PJz584xKysrtfNRNqHM5s2bmVgsZgCYhYUFO336NLOwsOC2F4lELC4uTqu8+VLe+q5atUqrvPVJ03LLW09dxKBLtra27O7du4wxxhwdHdm1a9cYYx8meaxSpYpBY+GTEM83QlTRx/WIECGga7LpExumOcMPHx+fMvtHyGQylfNfqGv06NHw8vLCtm3bEBAQgFatWsHNzQ25ubl48+YN/Pz8EBkZqZOyhECd+n755Zd8h1luplZPGxsbrl+Gl5cXUlNTuXWZmZl8hUUIUYOpXY8IIRWHST86NX/+fIwfPx6//vorGjVqBOBDx/CJEyfil19+0UkZL168wK5duxAeHo7WrVvDxcUFs2bN4kYAiYmJ0euoV4aelI3v+hqKqdUzNDQUJ06cQEBAALp27YopU6bg6tWr2LZtG0JDQ/kOjxCihKldjwghFYdJNzQ+/fRT5OXloWnTptzwrgUFBTAzM8Pw4cMxfPhwbtsXL15oXY6FhQWAD3NqAIBUKuXWmZuba52vOviYlI3P+hqSKdVz4cKF3Fj7M2fORE5ODuLj41GjRg0acYoQI2BK1yNCSMVh0qNOrVmzRu1thw4dqnCdslERnJ2d4ebmhg0bNiAqKgonTpyAn58fUlJSAADBwcF4+PAhXr16pXHefDHF+mpabnnrqYsYiO7RZ0CMkT6uR4QIAV2TTZ9J39FQ1ngobu7cuXj58iU3BK4mYmJiMGzYMDRu3BgikQjbt2/HoEGDIJFIAACFhYWYN2+exvmWR35+PtLS0uDv76/zyQKFWF99qCj1JIQIH12PCCHGyqTvaKjL3t4ely5dQrVq1cpcr6rFnZGRgUOHDqF9+/bw9PTEy5cvMWnSJOTm5mL48OHo0qWLwrJ12ZrPy8vD+PHjuTs5KSkpqFatGsaPH4/KlSsjOjparXyMpb6a0Kbc8tRTVzGUh7OzM1JSUuDq6gonJyeIRCKF25bn0UFjQr+eEWOl6+sRIUJA12TTRw0NAHZ2drh8+bLWDY3y0GXeEydOxMmTJxEbG4vOnTvjypUrqFatGnbu3IkZM2bg4sWLBo/JkHkLsVw+Y1izZg369+8PCwsLlY8Rqnv3z9gJ4TgghBDyAV2TTZ9JPzolBBkZGYiPj8f48eP1XtaOHTsQHx+P0NBQuV+v69SpIzecqT4Zsr58MoZ6FjUeCgoKIBKJ0KlTJ3h4ePAcFSFE14zhekQIqZhMeh4NXSk+o/bx48c1mmE7KSlJ6WhPRXMbAMDSpUvl3mvq+fPncHd3L7U8NzdX6WMzJRlLfTWh63JV1dMQMajLzMwMo0ePxtu3bw1SnpDx9RkQok/aXI8IEQK6Jps+amioUDRBUpGuXbvCz88P27ZtK3feUVFRcHV15d5HR0fD2toaUVFRWuXXqFEj7N27l3tf1Lj4448/0KxZM7XyMKb6Cr1cIcXQpEkTtR+dM1V8fwaEEEL+h67JFQSf05ILha2tLUtNTS21fOvWrUwkEjEAci+RSMREIhG3XtmrKE1JU6dOLZVv8dfUqVM1rkdycjKztbVlo0ePZpaWlmzixImsQ4cOzMbGhp07d05lemOrrzq0LVfbeuoyBl2Kj49n1apVY0uWLGGnTp1ily9flnuZOiF8BoRoS5fXI0KEgK7JFQd1BseHX+1XrlwJLy8vbplMJoOfnx8eP35cZhqRSARvb288evQIDRs2REhISJnb3b17F0lJSUhPT4e1tTVEIhHy8/Ph6uqKwsJChTGJxWI8f/4cBQUFAABXV1eIxapvQKWmpmLu3Lm4fPkycnJy0KBBA3z11VcIDg5Wms5Y61uksLAQmZmZAKCTckUikdJ6pqamIjExETKZrFS5xakbQ2ZmptwEXADAGENeXp5cXNoqK61IJAJjDCKRSKPH45Qp63PgW3k+Az7o8nMnpkHd6xH9OeefEK+BQmNs12ShMNq/DTw2cvTu/Pnz7MqVK9z7HTt2sI8//ph9/fXX7N27d0rTJiYmKm1tF72srKxYRESEwnxWrFihVj6qXunp6TrbL6ZY3/T0dJ2Wa2dnp7Se8fHx3Pa6KFffn//9+/eVvnTFUPujorz0fd4T46Du9Yjwj66B9DLEy5j+Npj0qFOff/45oqOjERwcjHv37qF///6IiIjA5s2bkZeXh9jYWIVpnz59qlYZ/v7+yMrKUri+cuXKmoattX379kEikaBTp05yyw8ePIjCwkKl46wbY331KTQ0VGk9q1SpgurVqxswovKpUqUK3yEQQrRkatcjQkjFYdKPTjk4OODChQvw9/fHzz//jKNHj+LgwYM4efIk+vfvj0ePHilMm5SUhLZt26osIzExEW3atFG4PicnB3Z2dgCA9PR02NjYYOnSpWpNnjdr1ix8//33AIDXr19zY00rUrduXcydOxddu3aVW37gwAF89dVXuHz5ssK0xlhfoZZbnLoxzJ07F+PGjZNblpubyw1Hq2lcZVm3bh2WL1+OtLQ0/PXXX6hSpQpiY2NRtWpVfPzxx+XKu4iq/cGH8nwGfND1504IMRwhXgOFxtiuyUJhtH8b+L6lok92dnYsJSWFMcZY+/btWWxsLGOMsQcPHjBLS0ulaQsKCpi3t3eZnaOBDx2kfXx8WEFBgdJ8cnJyuDQ5OTmMMcbevXvHJBKJ0ttiEomEvXjxolRaZSwtLVlaWlqp5Wlpacza2trk6ivUcotTN4ayHuVTlbcmli1bxlxdXdmcOXOYlZUVN/jB6tWrWZs2bcqVd3G6jFlXyvMZ8EGI+5AQoh46f1UztmuyUBjrsWUkPUm006hRI8yZMwfr1q3DsWPH0K1bNwBAWlqayonLJBIJFi1aBAClOnMVvY+NjUVCQgJWr14tt37+/PlwcnKCra0tevToUSpvqVSKyMhIpeVHRkZq3AnKwcEB9+7dK7X87t27Kn9VMcb6qlKecg8ePKi0nh07dtR7DLq0ZMkSrFixAt9++y0kEgm3vFGjRrh69apey+abUD4DQrSlq+sRIUJA1+QKhu+Wjj5dvnyZBQUFMXt7ezZjxgxu+bhx49iAAQPUymPr1q3M29tbrqXt4+PDtm7dyhhjzMvLi7Vs2ZLb/tixYwwAc3FxYfXq1ZNLV7IFOnXq1FKteolEwg3rpmnrddSoUSw4OJjdvXuXW3bnzh1Wt25dNmLECJOrb3HK0mpTrjr17Nmzp9oxq4pB0zppytLSkuv0XXw455SUFJV39zQh5F9ctPkM+CDkfUj4oe71iPCPzl/1Gcs1WSiM9dgy6YaGIm/evGH5+flqb19QUMASExPZn3/+yRITE+UeH5JIJOz333/n3oeFhcl9cRs0aJDKR2tiYmLYuHHjWExMjNytQk0PqpcvX7LQ0FBmZmbG/Pz8mJ+fHzMzM2Nt27ZlWVlZJlff4tR5hEmTclXVc+jQoczS0lKjmJXFoE2dNBEQEMB27NjBGJNvaCxevJiFhISUK+/ihH4h1PQz4IPQ9yExPHWvR4R/dP5qxhiuyUJhrMeWyTc0srKy2IoVK1h0dDT7999/GWMfhr19/PixTvIHwE6fPs29d3JyYi1atODe7927V29fnstSWFjIDh48yObNm8eWLFnCjh07plGZqgitvvpKq6qeR44c4bbX14mvy7xXrFjBKleuzDZu3MhsbGzYf//7XzZnzhzu/7pirBdCIaF9SEpS93pE+EfnL9EXYz22THp42ytXriAsLAyOjo64f/8+PvvsMzg7O2Pbtm14+PAh1q5dW+4yxGIxbty4gaZNm6KgoABZWVkICwvj1hdNrqJv79+/h5WVFS5duoSOHTvq7ZldodRX30ytniNHjoSVlRW+++475OXlYeDAgahUqRIWLVqE/v378x0eIUQJU7seEUIqDpPuDB4ZGYlhw4bhzp07sLS05JZ37doVx48f10kZPj4+iI6OxpkzZ9C7d28AwNixY7n1ycnJOilHFXNzc/j6+upshmdFhFJffVNVz2PHjskdU8Zg0KBBuHPnDnJycvDs2TM8fvwYI0aM4DssQogKpng9IoRUDCZ9R+Ps2bP4/fffSy2vXLkynj17ppMy1q9fj3bt2iE0NBQA0L9/f7i7u3Pr4+PjdVKOOr799lt88803WLduHZydnfVShpDqq0+q6rl+/XoEBATwFZ7WMjIycPv2bQAfRhNzc3PjOSJCiCqmej0ihJg+k25oWFhYIDs7u9TylJQUnX3BatGiBbKzs7Fr1y5Ur14dDRo0kFs/f/58DBkyRCdlqbJ06VLcvXsXlSpVQpUqVUoNaXvhwgW185LJZLh69SqqVKkCJycnbrmQ6qupt2/fqv2rn6p6Llq0CCEhIVrHUlhYCLHYcDcUX79+jbFjx+K///0vCgsLAXwY0rhfv3749ddf4eDgYLBYhOD48eNo0qQJ/QpMjIK+r0eEEKIvJj0z+MiRI/Hvv/9i06ZNcHZ2xpUrVyCRSNCzZ0+0atUKsbGxCtPKZDLExcXhyJEjyMjI4L6cFTl69GiZ6W7fvg0bGxt4e3sD+DCTY9HsjTk5OUrns9izZw8iIiLw/v17jdMCwMyZM5Wunz59usJ1kyZNQnBwMEaMGAGZTIbWrVvj1KlTsLa2xp49exTOBl6e+h49ehS9e/dGVlaWxmlLKp522rRpqFevHnr37o2CggJ06tQJSUlJ3Jf7Dh06YN++fdwXfXXKLVnPssotmTY7Oxvt2rXDnTt38NFHH2H//v1o3749jhw5AgCoUqUKTpw4USpPdfLWVL9+/XDx4kUsWbIEzZo1AwD89ddfmDhxIurXr4+NGzdqnbe+YtYnkUiE3bt3Izw8nO9QSjGWfUj4o+h6RPhH56/2Sn4nIPKM9tjiuze6Pr18+ZK1b9+eOTo6MolEwnx8fJi5uTlr1aqVyh77X3zxBbOxsWF9+/ZlEydOZJMmTZJ7FXf//n0WFBQkN6u2WCxmoaGh7P79+2qPEhAfHy83coghRxioXLkyO3v2LGOMse3bt7NKlSqx27dvs++++4599NFHctsKsb7F05qbm7MlS5Ywxhjr2LEjE4lE7OOPP2azZ89mERERTCwWs86dO6ssV1k9nz9/rjLmBg0aMLFYzBo2bMikUikLCgpiEomEjRkzho0bN46Zm5uzunXrqlWn8n7+1tbWLDk5udTy48ePq5w1XhNCGxXDy8urzBcA5uzszL0XEqHtQyIM6lyPCP/o/NVeye8ERJ6xHlsm/eiUg4MDDh8+jBMnTuDKlSvIyclBgwYN0L59e5VpN27ciE2bNqFr165Kt0tNTUVAQADev3+P2rVro3bt2gCAW7du4fTp03LPzVauXBn+/v4K8+KzFZ+ZmQlPT08AwL59+/DJJ5+gZs2aGD58ODdjOKBZfWvUqMH9el6Wx48f66Uu79+/R8OGDQF86CQ5adIkLFy4kFs/Y8YM/Pjjj0rzUFXPKlWq4MmTJ0rvBFy+fBk//fQToqKikJSUhLZt2+Lrr7/myq5cuTK+++678lZXLS4uLmU+HuXg4CD3aJypefr0KRwcHMp8VNLCwsJ4fhEiFZq616Pt27djz5492Lp1K88RE1Ja0UAGiujrOwHhGd8tHaHy8vJit2/fVrld/fr1mYWFBbt69WqpdZcvX2YWFhZys15aWVkxR0fHMl/W1tbl+oW/oKCAzZ8/nzVu3Jh5eHgwJycnuZcyvr6+7ODBg6ygoID5+PiwPXv2MMYYu3btGnN0dNS6vmKxmJmZmZX5EovFermjIRaL2YoVKxhjjInFYvbnn3/KbXvo0CGV5aqqp6WlJatcubJcXUvGDICdOnVK7n3RpHmMMZacnKz01xtd/nrx+++/s/bt27OnT59yy54+fco6duzIli9fXq68ixPaLy7jx49nEomEDRs2TG45ALZz506eolJOaPuQ8E+T69HIkSN5iJAUofNXMU2/ExB5xnpsmdwnumjRIrVfyvzyyy9s7NixrLCwUOl2EomEzZkzR+H6adOmyT3SM3r0aIXbbty4sVxfvKdNm8a8vLzYL7/8wiwtLdns2bPZiBEjmIuLi8r6Tp8+nTk4OLDatWszX19f9vbtW8YYYytXrmShoaFa1VcikZR6zEyX9S2ueNrAwEDm7u7O3r17x2rXrs1q1arFZDIZt23dunWZra2t0nJV1XP27NkMAGvZsqXCmKVSKZswYQJjjLG4uDgGQO4L74QJE5i5ubladSrvRaV+/frM1taWmZubM39/f+bv78/Mzc2Zra0tCwkJkXuVhxAvhMnJyczOzo5VqlSJ3bt3jzFGDQ1iXNS9HrVp08aAUZGy0PmrmJmZmUbfCYg8Yz22TO7RqZiYGLn3z58/R15eHhwdHQEAL1++hLW1Ndzd3TFhwgSF+Zw4cQKJiYnYv38/6tSpA3Nzc7n127ZtA/Ch07iyyfHat2+P2bNnAwC8vLxw5swZhduKRCKldVNlw4YNWLFiBbp164YZM2ZgwIAB8Pf3R926dXH69Gml9Z0xYwaCgoLw6NEjfPLJJ7CwsADwYWSi6OhobjtN6uvu7o5Tp04p3La89VVk69ataNiwIWxtbeHj44N79+5BKpXCwcEB2dnZKCgowB9//KE0D1X17NSpE6ZNm4b9+/dznbNK6tq1KxYvXoz169cjKysLvXv3xpo1a3D9+nWIxWKcPn0a7dq1K1dd1dWzZ0+DlCNELVq0wIsXLxAWFoYaNWqoHDSBEKFR93qUmJhowKgI0YyHhwcv3wkIv0yuoZGWlsb9/88//8SyZcuwcuVK1KpVC8CH0To+++wzfP7550rzcXR0REREhMryxGIxzp49i8aNG5e5/uzZs9z/N23ahIKCAoV59e3bF3379lVZpiLPnj1DcHAwAMDW1havXr0CAISHh2PatGkq0/fp06fUsqFDh8q916S+sbGxePv2rcLywsPDceLECZVxacrHxwfPnz/HyJEjkZCQAKlUCsYYZDIZmjRpgtjYWIXxF1FVzzNnzqgcnnb79u344osvkJycjIEDB2LJkiWIjY3F9OnTUVBQgDZt2uDgwYNa11MTykYcqwjMzMxw7NgxLFu2DBMnTuQ7HEI0oovrESF8W7ZsGV6+fKlwvb6+ExCe8X1LRZ+qVavGLly4UGr5uXPnmJ+fn07KqFGjBnNwcGCvX78ute7Vq1fM3t5eJ48DqZO2Zs2a7PTp04wxxpo3b85++uknxtiH25Fubm4q0yclJbHw8HDu0Zru3buz48ePy20jpPrqM62qejo4OLAaNWro9VamvvJ+/fo1e/XqldxLV4zh1u7Tp09ZfHy8TuutS8awD4lhqXs9Ivyj85foi7EeWyZ3R6O4p0+flnkHQSaTIT09Xa08nj9/zs2kXKtWrVKj12zYsAGhoaFwdHREx44dERISAsYYLly4gISEhFLzb+hTREQEjhw5gqZNm2L8+PEYPHgwVq5ciYcPH2Ly5MlK065fvx7Dhg1Dr169uEesTp48ibCwMMTFxWHgwIEAhFVffVKnnvv37+c7TLWlpaVh3LhxSEpKkrvLxBiDSCSCTCbjMTrD8vT0RJ8+fZTeXSRESEztekQIqUB4beboWXh4OAsJCWHnz5/nlp07d441aNCAde/eXWnanJwcNmzYMCaRSJhIJGIikYiZmZmx4cOHs9zcXLltjx07xlxdXeVGIALAXFxc2O7du9Vugep6Ho1Tp06xBQsWsF27dqnctnbt2mzhwoWlli9YsIDVrl1bbpkm9Z0xYwarWbMma9y4Mdu7d69cPvfu3ZMb0UqXdyWKl7t7926tylVWz4SEBLVi1qT+qupUHh999BFr1qwZ27hxI0tMTGRJSUlyL10R2i8ub968Yc2bN2cODg6sVatWjDHGunbtysVYrVq1Mn8l5pPQ9iERBnWuR4R/dP4qtmrVKvbu3Tvu/bRp05iDgwMTi8XM2tqaffbZZzxGJ3zGemyZdEMjIyODdenShYlEIiaVSplUKmVisZh16dKFpaenK007atQoVq1aNbZv3z7u8ZK9e/cyf39/hSNH3bt3j61atYqtWrWK3b17lzGm2YHB54R9UqmU3blzp9TyO3fuMAsLizLTqKrvqFGjGADm7u7OPVI1ZswYLv3Vq1f1MuqUrsstq57qpB07dqxGcSirU3k/fxsbG3br1q1y5aEOoV0IW7RowU2aaGFhwQIDA7lJEz/77DPueiAkQtuHRFiUXY8I/+j8VQwAu3btGmOMse+++477sadfv36sVq1aDACLioriOUrhMtZjy6QbGkVu377Ndu7cyXbu3KnW3BiMMebi4sISExNLLT969ChzdXVVu+ziB4anp6fCmYq9vLyYk5NTub94P3nyhMXHx7MlS5ZoNJyvv79/mfMp/Pbbb6x69epa1dfS0pL16tWLWzdp0iQGgA0dOpQxpr+GBl/llkxrZWWlURya5K2pNm3asMOHD5crD3UI7UJoZmbGpk2bxhhjLCEhgQHghhxm7MNnoqghzReh7UNCiPro/FWseEPD3t5ebuh8xhjr0KGD3NDzRJ6xHlsm3UejSM2aNVGzZk2N0uTl5cHDw6PUcnd3d+Tl5WkVx7Nnz+Dm5lbmDM3Ah+flyyMuLg6ff/45pFIpXFxc5IaKE4lESoe3nTJlCiZMmIBLly7ho48+AvChj0ZcXJzczOCaePv2rdwIPzExMfDx8cGUKVOQn5+Pb775Rqt8hVpuSW/evBFEHADwxx9/YPTo0Xjy5AmCgoJKDddct25dg8ViSAUFBejWrRsAICwsDMCHoUCLREREIDY2lo/QCCGkwnr9+jW++OILuWWTJ09GQkICTxERfTG5hkZkZCRmz54NGxsbREZGKt124cKFCtc1a9YM06dPx9q1a2FpaQngwxfHmTNnolmzZlrFZmFhga5duyIuLq7M9fHx8ejfv79WeQPAtGnT8P333+Prr7/WeKjDMWPGwNPTEwsWLMCmTZsAAAEBAYiPj8fHH3+sVTxisRgpKSlo1aoVtywyMhISiQSTJk3Cw4cPtcpXqOUKNQ7gw6AGqampGDZsGLdMJBKZfGdwsViMx48fo2nTpgAAOzs7uLu7c+tzcnL4Co0QQiqcw4cP4+bNmxCLxWX+3SnvD65EeEyuoXHx4kW8f/+e+78iqiaGWbRoETp16gRvb2/Uq1cPAHD58mVYWlpqPfdB5cqVcf78eYXrbWxsYGam/UeSl5eH/v37az2eekREhFpzh6jLzc0N69atw8iRI+WWT5w4EYwxlSNhGVu5Jbm7uwsiDgAYPnw4QkJC8N///hceHh4VZmIke3t7HDhwAL179wYAZGdny61PSEiAtbU1H6ERQkiFU/zv3o4dO+Tm6tq/fz83WTAxHSbX0Cg+M2p5ZkkNCgrCnTt3sGHDBty6dQsAMGDAAAwaNAhWVlZa5XnixIlSj6wUFx4ezjWStDFixAhs3rxZbiZvPkVGRuLIkSNlrps0aRIKCwvx22+/mUy5JUVHR2Pfvn28xwEADx48wK5du1C9enWDlCcUGzduVHq+vnv3DqNGjTJgRIQQUjGVnIyv+N1l4MNjz0OGDDFkSMQARIzuU+lVbm4ubG1tAXx4TMPGxkZvaWUyGcLDw/HmzRsEBweXatSUfFTM2dkZKSkpcHV1hZOTk9JfuV+8eKGXmCtyWkPm3b17d3z66afcL/v6os/9UVHQPiTEeNH5S/TFWI8tk7uj0atXL7W33bZtm9L1//zzD06cOIGMjIxSE9Ep61itTH5+Pk6dOoUWLVrAzMwM2dnZmD59OmQyGUaNGoWgoCCt8gWAn376CQcPHkStWrUAoFRn8JJiYmJgZ2cHAHrrEKvP+gqxXKHG0b17d0yePBlXr14tsxHao0cPg8TBB6F8BoQQUtHR9bgC4m/AK/349NNP1X4ps3r1aiaVSpmtrS2rUqUK8/Pz415Vq1ZVO57iw5GtW7eOicViBoBZWFiw06dPMwsLC269SCRicXFxZaZVZygzR0dHtnr1arVj0wdN67tq1aoy05ZnmFm+yi2ZdvPmzRrFoUnemiqadLKsl1gsLlfexQlt+L3yfgZ8ENo+JISoj85fxYzxeiwkxnpsmVxDQ1e8vb3ZnDlzmEwmK1c+xQ8MFxcXVrlyZbZt2zZWv359JpVKmbe3N8vNzWVv3rxhVatWZc7OzmWmVeeg8vDwYCkpKWrHVjQRoTovIdZXaOWWTKtpHJrkLVRCi7m8nwEfhLYPCSHqo/NXMWO8HguJsR5bJt3QuHfvXplfvFNSUlhaWprStM7OzjqZdbX4gSESidju3bsZY4z9+++/DIBc633Hjh1MJBKVmVadg+rHH39k48ePVzu2ol+zlb00/cXbkPUVWrkl02oahyZ5C5XQYi7vZ8AHoe1DQoj66PxVzBivx0JirMeWyfXRKO7TTz/F8OHDUaNGDbnlZ86cwR9//IGkpCSFafU1glPR0G1Fc3NIpVJunbIRqdTx999/4+jRo9izZw/q1KlTKr+SfVLKMyqXuvRZXyGWK6Q4Fi9ejFGjRsHS0hKLFy9Wuq22fY6MgVCOBUIIqejoelzxmPSoU/b29rhw4UKpIT3v3r2LRo0a4eXLlwrTajqCkyLFRwlwdHSEu7s7NmzYgKioKJw4cQJ+fn5ISUkBAAQHB+Phw4d49epVqbTqjDBQfDK2sqxevVqtmMvDkPUVWrkl0zo7O8PNzU3tODTJWx1Vq1bFuXPn4OLigqpVqyrcTiQS4d69exrlrYjQRsUo72fAB6HtQ0KI+uj8VcwYr8dCYrTHFt+3VPTJ3t6eXbhwodTyc+fOMVtbW6VpZ8+ezUQiEatduzZr3bo1a9OmDfdq27at2jEUv9W1fPlyJhKJuMd7duzYwWxsbLjHlACwefPmlZlWl7fJTpw4wd6+fVtq+fHjx9mgQYNYs2bN2OPHjxljjK1du5YlJyernTdf9RVCuSXTxsXFaRSHJnkLldBiLu9nwAeh7UNCiPro/FXMGK/HQmKsx5ZJNzTCw8PZJ598wgoKCrhlBQUFrHfv3qxz585K0+pqBKeSB0Z6ejpbt24de/r0KWOMsaysLDZ06FDWp08ftm/fPqVpdcXOzo6lpqbKLduyZQuzsrJiI0eOZBYWFtz6JUuWsC5duqidN1/1FUq5JWkSh6Z560NZx4YmhHghLM9nwAch7kNCiHro/FXO2K7HQmKsx5ZJPzp148YNtGrVCo6OjmjZsiUAIDk5GdnZ2Th69KjS8Zo9PT2RnJxcqn+HpoQ4GZydnR0uX76MatWqcctCQkIwefJkDBkyRG79xYsX0aVLFzx79kzvMVe0tHzmrUhZx4YmjPbWroDQPiTEeNH5S/TFWI8tMd8B6FNgYCCuXLmCvn37IiMjA69fv8aQIUNw69YtlZPCTJw4EUuWLDFQpB9kZGQYvMwit2/fRqtWrUotd3BwUNqXpTz4qi+f+1mIcVRk9BkQQogw0PXYNJl0QwMAKlWqhB9//BF79+7Fli1b8P3338PZ2Vllur///htr1qxBtWrV0L17d/Tq1UvupS6ZTMb9//jx43LvS0pKSpIb/UeTtOXl6emJu3fvllp+4sQJjX7d5qu+xlCuqjhKys/P5/6/dOlSufdCZWwxq/oM+GBs+5AQ8j90/mpPiNdjITHkd0JdMrmGxpUrV1BYWMj9X9lLGUdHR/Tq1QutW7eGq6srHBwc5F7q2LZtGwICArj3Xbt2hZ+fX6lhZnWdVhufffYZJk6ciDNnzkAkEuGff/7Bhg0b8OWXX2LMmDFq5cFXfY0xrSpRUVFwdXXl3kdHR8Pa2hpRUVHlzltfjDFmoaF9SIjxovOX6IuhvxPqFN+dRHRNJBKx9PR07v9Fk86VfGkyCZ02tm7dyo2uoOhVMqai5YrSFm23devWcsVWVoffwsJCNmfOHGZjY8OVY2lpyb777jtB11do5RZPW9ZxV1YcJU2dOlVpfaZOnarWZ6INbTuD8xmzMtp+BnwQ6j4khKhG569qxnQ9FhJ9fyfUN5PrDP7gwQP4+vpCJBLhwYMHSretUqWK0vUFBQVISkpCamoqBg4cCDs7O/zzzz+wt7fnOuSURSaTwc/PD48fP1a4jY2NDfr37w+RSMQtS01NRWJiIry9vRWmFYlE8Pb2RlpaGiQSidL4FVHW4Tc/Px93795FTk4OAgMDldazCF/1FWq5RWkfPXqEhg0bIiQkpMzt7t69i6SkJKSnp8Pa2hoikQj5+flwdXXl7sqVRSwW4/nz5ygoKAAAuLq6QizWzc1JVZ3BCwsLkZmZCQAGjbmsctVha2uLkJAQ1KtXr8z19+7dw/Hjx5GTk6N2LPqg7j7MzMyUm+DKmDHGkJeXB0C3xzAxbdpeC/TJ2M5fvs49kUik9G9i0d9mE/taWi7qft8oz3dCveO1mSNg9+/fZ7Vr12bW1tZMIpFwv/JOmDCBff7550rTJiYmKv1lo+iVmJgoly4+Pl6tdGWl5RNf9RV6uVZWViwiIkLhfluxYoXacSh7Fd3B00RBQQG7ePEie/Hihdzy5OTkMudYKZKens5LzLoql17CfGlzDJOKia4Fxnvu2dnZKf2bWPS3mfyPtt9zhMQMJu7OnTtITExERkZGqV8bvv/+e4XpJk6ciEaNGuHy5ctwcXHhlkdEROCzzz5TWubTp0/Viq3kdlWqVIGHhwfS09M1TgsA//77L77//nuF9X3x4oXC/HJzczF37lwcOXKkzLTKZo7mq75CL9ff3x9ZWVkK11euXFmtfHRh0qRJCA4OxogRIyCTydC6dWucOnUK1tbW2LNnD9q0aQMAaNGihcFiIoQQUnGEhoYq/ZtYpUoVVK9e3YARCZ+233OExKQbGitWrMCYMWPg6uoKT09PuVusIpFIaUMjOTkZp06dKnWb08/PD0+ePFFarpeXl1rxldyuadOm2LhxI9q2batxWgD4z3/+g7t372LEiBHw8PDQ6JbyyJEjcezYMfznP/+Bl5eXRmn5qq/Qy12yZAn3Bb4sRXO7AEB6ejpsbGywdOlSREdHq8x71qxZ3PFrbW2tcvstW7Zg8ODBAIDdu3cjLS0Nt27dwrp16/Dtt9/i5MmTKvMoWZa+Y1ZVrilRdx/OnTsX48aNM0BE+pebmwsPDw8Amh8PpOIS4rXA2M5fvs69Q4cOKV3ftGlT3Llzx0DRGAdtv+cICt+3VPTJ19eXzZ07V6u0jo6O7Pr164wxxmxtbblHp5KTk5m7u7vStAUFBczb21thJ2WRSMR8fHzkZizXRVpbW1t26dIlrerr4ODATpw4oVVavuprjGmLK2uWz3fv3jGJRKL0FqlEImEvXrwolVYZCwsL9ujRI8YYY5999hmbOHEiY4yxe/fuMTs7O5Xp+YhZVbmmRN19+O7dO75D1RlT/0yJfgjxuDG281eI+5CUTVffN/hk0r3vsrKy8Mknn2iVtmPHjoiNjeXei0Qi5OTkYPr06ejatavStBKJBIsWLeLSlSU2NhYSiQTz58+Hk5MTbG1t0bFjR6Vpi94XpS2pdu3aePPmjdp1LM7JyUmt+UXKwld9hVhu8bQJCQlYvXq13PricfTo0aNU3lKpFJGRkWXWpUhkZKTGHQo9PDxw48YNyGQyHDhwAB06dAAA5OXllbsDmb5i1oWDBw8q/Qw6duxo8JjKIuR9SAhRjs5f9RjL9VhIyvNdRTD4buno0/Dhw9lvv/2mVdpHjx6xwMBAFhAQwMzMzFhoaChzcXFhtWrVUrvz1NatW5m3t7dc61MqlXJDkR07dowBYC4uLqxevXoMAOvZs6fCtD4+PkqHMfv7779Zu3btWFJSEsvMzGSvXr2Seymzbt061qdPH5abm6vmHuK/vkIst3haLy8v1rJlS277suIoepX8VWnq1KmlfiGTSCTcEIma/iI1ffp05uDgwGrXrs18fX25Dt8rV65koaGhKtMXUVaurmNWt1xl1PkMio4FIVC1D00J/apKtCHk48ZYzl++9qGxXY+FpDzfVfhmcsPbLl68mPt/bm4uFi5ciG7duiE4OBjm5uZy26qagbKgoAAbN27ElStXkJOTgwYNGmDQoEGwsrJSOx6ZTIbk5GQ8ffoUgwcPxq+//orRo0cDANq3b4+TJ09ydyE+/fRTxMfHc++Lp/Xy8kLLli2Vtlrv3LmDgQMH4sKFC3LLGWMQiUSlZpEMCQmRayHfvXsXjDH4+fmV2lcl8xRCfYVWbsm0ZmZmWLZsGUaNGlVmHIMHD8aGDRsAADk5OaWeNc7Pz8eyZcuQmpoKf39/jB07lvtFLDc3lxt6uKy0ZdmyZQsePXqETz75BN7e3gCANWvWwNHRER9//LFa9VVVrq5jVrdcRVR9BiWPBSFQtg9NSXmOB1JxCf24MYbzl699aIzXYyEpz3cVPplcQ6Nq1apqbScSiZSOpPT27VtYWlrqKiyuzNOnT6Np06YAAGdnZ9SpUwfJyckAgKNHjyIsLEzrMaSbNGkCMzMzTJw4sczO4K1bt5Z7P3PmTLXznj59usbx6Lu+QitX0zj27duHbt26ATDcF+/y4qOxUJ60QjkWSGlC/8JIhImOm/Ljax/S9bhiMrlRp9LS0nSSj7u7OyIiIjB48GCEhYXpZEIbsViMGzduoGnTpigoKEBWVhbCwsK49UUT6Gjr2rVruHjxImrVqqXW9to0Hv773/+iR48eal2Y9F1foZUr1DiADyM+KaNsBDZjJqTPgBBCKjK6HldQPD2yZXCFhYWssLBQ7e23bdvG+vTpw6ysrJinpyebOHEiO3v2bLliqFKlCnN3d2enT59mPXr0YID8ZDlffvkls7S01Dr/li1bssOHD5crRlXs7Oy4EbhU0Xd9hVaupnFMmDDBYH0W6tevL/eqU6cOs7a2Zvb29iwkJERv5fKdVijHAilNyM/aE+Gi46b8+NqHdD2umEy+ofHHH3+wOnXqMKlUyqRSKatTpw5bsWKF2umzs7PZqlWrWIcOHZhEImE1atRgM2fO1CqW5ORkZm5uzp3g/fv3l1vv6emp0Ze+kjZt2sQCAwPZ6tWr2blz59jly5flXrpQfKhfVfRdX6GVq2kcHh4evHxpL/Lq1SsWERHB1q5da5By+UgrlGOBlEZfGIk26LgpP772IV2PKyaTbmhMmzaN2djYsOjoaLZz5062c+dOFh0dzWxtbdm0adM0zu/69eusfv36TCwWax3TmzdvWHx8PDt//nypdfHx8SwlJUXrvEUiUamXWCzm/tUFTRoajOm3viUVFBSwixcvshcvXhi0XGWUxbF27VpeGxqMMXblyhVWpUoVg5TLV1qhHAuaePPmDd8h6B19YSTaoOOm/Pjch8Z4PSblY3KdwYtzc3PD4sWLMWDAALnl//3vfzF+/HhkZmaqzOPt27fYtWsX/vzzTxw4cAAeHh4YMGAA5s6dqzCNTCZDXFwcjhw5goyMDBQWFsqtP3r0KADg9u3bsLGx4UYAKvLy5Uv8/fffZaYdMmSIwnIfPHigtC5VqlRRul4ddnZ2uHz5MqpVq8Ytu3DhAszNzREcHAwA2LlzJ1avXo3AwEDMmDGDG3GjqL7btm3DqFGjYGlpKTdKWFmUjQw2adIkBAcHY8SIEZDJZGjdujVOnToFa2tr7Nmzh5uVu6jcunXrIiUlBa6urnByclI6+/mLFy8UrpPJZIiJicGmTZvw8OFD5Ofnq5W25OetSYe8o0ePonfv3sjKytI4rTInTpxA9+7duXxVUVbuhQsXMHnyZDx48ACurq6YNWuW3JwzfHUkL07ROceXOXPmICAgAL1790ZBQQE6deqEpKQkFBYWQiwWo0OHDti3b59O+ogJDXXqJdoQ4nFz6dIl/P777/D09MSUKVO4+AAgIyMD/fv35/7uC4FQ9qHQrsdCVVhYiLt375b5nbBVq1Y8RaU+k+sMXtz79+/RqFGjUssbNmyIgoICpWkPHjyIP//8Ezt27ICZmRn69OmDQ4cOqfWhTpw4EXFxcejWrRuCgoLkvtBmZ2cjODgY169f50ZWEIvFaNKkCXbv3o2//voLgwYNQk5ODuzt7eXSikQipQ0NXTQktPH5558jOjoawcHBuHfvHvr374+IiAhs3rwZz549w9mzZ+XqCwBr167FgQMHEBMTozBfkUiktKGxZcsWDB48GACwe/dupKWl4datW1i3bh2+/PJLvHv3Tq5ckUiEbt26Ye/evXKTMWpq5syZ+OOPPzBlyhR89913+Pbbb3H//n3s2LGjVKfqBw8eIDw8vMzPe+PGjWqXmZmZiZcvX2odc8kGHWMMT58+xbp169ClSxet8rS1tcWNGzcQEBCAXbt24eOPP4a5uTk8PDxw9epVdOvWDZs3b0afPn20jlsXlH0Gu3fvhqurK2+xzZ49GwsWLAAAdOvWDYmJiejRowcaNWqECxcuYOfOnejWrRv279/PW4yEEMXWrFmDYcOGcdeWH374AZs3b+aGDM/IyEBiYiKfIQqKkK/HQnT69GkMHDgQDx48KDUaV1nTFgiRSd/RGD9+PMzNzbFw4UK55V9++SXevHmDX3/9VWFaa2trhIeHY9CgQejatWupeSWUcXV1xdq1a0vNIJ6amoqAgAC8f/8etWvXRu3atQEAt27dwq1bt2BtbQ0vLy9UrVoV1tbW2Llzpwa1/fDlXRlljRR1lXVHw8HBARcuXIC/vz9+/vlnHD16FAcPHsSmTZvQr18/AFBY3ydPnmD79u3Ys2cPtm7dqlEslpaWuHv3Lry9vTFq1ChYW1sjNjYWSUlJaNu2rd7K9ff3x+LFi9GtWzfY2dnh0qVL3LLTp0/jzz//BKD687aysuLGC/fy8kKzZs0Ulvn48WP8/fff3IVG01+kSg77LBaL4ebmhnbt2uHrr7+GnZ2dWnUvXi7wYaSzOnXqwMvLC4wx3L9/H5aWligoKIC/vz/evn2L9PR0rWJWVK4madU558pzLJSXSCTCqVOn0KxZM1haWmLs2LFy16sZM2bgxx9/LHXXzBQI5VdVYlyEdty4uLjAxcUFN27cQEZGBjp27IgbN25gw4YNGDBgAK5du4bg4GBBDdnK1z4U+vVYiOrXr4+aNWti5syZ8PLyKvUkhoODA0+RacDwT2sZzrhx45i9vT2rU6cOGzFiBBsxYgQLCgpi9vb2bNy4cWzy5Mncq6Ts7Gyty/Xy8mK3b98utbx+/frMwsKCXb16tdS6y5cvM0tLSyYSiRgANnLkSI3LdXR0lHvZ2NgwkUjELCwsmJOTk1Z1KalOnTrs4cOHcsvs7Oy45yrbt2/PYmNjGWOMBQYGMgBK61u5cmWt6+vr68sOHjzICgoKmI+PD9uzZw9jjLFatWqpXW5YWBibPXs2mz17Ntu2bRsrKChQWa61tTV78OABY+xD57WiZ01TU1OZvb09t52qz9vCwkJulk+xWMzMzMzKfInFYlb8dOXrGdvi5QJg165dY4wxJpFI2JIlS+S2/fPPP+X6BvHRR0Odc648x2B5icVibnAKsVjM/vzzT7n1hw4dYqZ6maZn7Yk2hHbciEQiduDAAbllnTp1YiKRiMXFxbGrV68K7hzmax8K/XosRNbW1uzOnTt8h1Euwjr6daxNmzZqvdq2bVtm+rt377Jvv/2W9e/fnxuCbd++fdyXK0V++eUXNnbs2FLD6UokEjZnzhyF6WbPns0AsMDAQA1rqlhKSgoLCwsrdSHUpbZt27IhQ4awtWvXMnNzc+6kEIvFzNHRUWG6ovrWqlWLDRgwgIWFhbG2bdvKvZSZPn06c3BwYLVr12a+vr7s7du3jLEPF34fHx+V5VpZWTFra2sWEhLCQkJCmLW1NatVqxa7e/eu0nJr1qzJTp8+zRhjrHnz5uynn35ijDG2ceNG5ubmxm2n6vOeNm0ad7GXSCRs0qRJCrfduHGjzhoaDx8+LNVYVFfJhsaNGzcYYx/qunnzZrltjx07prOYtU2r7jnXpk0bjeLRlaCgIObu7s7evXvHateuzWrVqsVkMhm3vm7duszW1paX2PRNaF8YiXEQ2nEjEolKXfsYY6xbt25MJBKxqKgoamj8f0K/HgtR27Zt2f79+/kOo1yEdfQLSFJSErOysmLt27dnUqmUG2npp59+Yr1791aatmfPnszBwYFVrVqVhYeHs4iICBYREaHyBPr7778ZAObr68umT5/OtmzZwo2WVfTSxtmzZ1mtWrWUblNQUMDmz5/PGjduzDw8PJiTk5PcS5nLly9zd4pmzJjBLQfAOnbsqDBdUX1tbGxY37592cSJE9mkSZPkXqps3ryZLVy4kD169Eiu3Pnz56sst3Pnzuzff//llmdmZrLOnTuzrl27Ki3zq6++Yj/88ANj7EMDwMzMjFWvXp1JpVL21VdfycXx999/K8yn6Is4AObl5cWaNGmicNv4+PhyfWl///49++6775i9vT0Ti8VMLBYze3t79u2337L8/HyV6csqFwA3uhkANnr0aLltf/rpJ2ZmZqZ1zIrK1SStqs+g6Fjgy4MHD5i1tTUzNzdn1apV4xqdzs7OzMzMjAFgf/zxB2/x6ZPQvjAS4yC048be3p4NGDCgzHVdunThYhUSvvah0K/HQrRt2za9T1ugbybdGbw8oqOjMWfOHERGRso9v96uXTssXbpUaVpHR0dERESUue7t27cK0505cwYA8OjRozJncta244+ZmRn++ecfpdto0sG5pLp16+Lq1atlxhseHq4wXVF9N23aVKo/i7rK6mgsFothbW2tstx58+bB2dmZW+7i4oK5c+eiefPmSsssPuJYv3794Ovri7/++gs1atRA9+7d5eI4e/YsGjduXGY+Z8+e5f4fGxur9NgIDw/HiRMnlMalzPjx47Ft2zbMmzeP6wvy119/YcaMGfj333/x22+/aZznp59+CjOz/11CGjZsKLf+8OHDqFu3rtYx64Kqz+DMmTO8jujk6+uL58+fY+TIkUhISIBUKgVjDDKZDE2aNEFsbKzC2Akh/OvZsyeSk5PLXLdv3z506dIFCQkJBo5KmIR+PRai3r17AwCGDx/OLROJRGCMUWdwPvXq1Uut7bZt26Zwna2tLa5evYqqVavKdYC+f/8+ateurfRLoSI1a9ZERkYGHj9+LNehFvgwGpWvry/c3d2RkpKicd4AsGvXLrn37P+PLLR06VL4+PgoHblG3Q7OyuTn58sNv9a6dWv8+++/+OeffxTWNycnBzdu3EDNmjU1rm9ZjTEAWLRoEXJzc5GZmamw3NevXyM5ORkfffSR3PqTJ0+ie/fuSoe3VZeqz9vHxwfZ2dkA9N852sHBARs3biw1wtS+ffswYMAAvHr1Si/l8p1W3+cc0Z7QOvUS40DHTfnxtQ/peqw5Q0xboG8meUdDF73wHR0d8fTp01Kj9Vy8eBGVK1dWK4/nz5/j9u3bAIBatWphw4YNCA0NhaOjIzp27IiQkBAwxnDhwgUkJCSgsLCwXMNY9uzZU+69SCTiRhYqGkJTkWfPnnHzYNja2nJfPMPDwzFt2jSlaVNSUjBixAicOnVKbjn78Gie0vp+8cUXWLRoEZYuXap0XouybN++Xe79+/fvkZaWBpFIhHfv3iktt1OnThg1ahRWrlyJJk2aAPjwa8ro0aPRo0ePUmWVbMQpU5Renc9blcLCQhQUFHBzkWjLwsICfn5+pZZXrVq13HmXpKuYdUHf55y+CGkfEkKILhjr9ZhPxtCQUImXB7aMwJQpU1iLFi3Y06dPmZ2dHbtz5w47ceIEq1atmlw/hLLk5OSwYcOGMYlEwj3DbmZmxoYPH84OHjzIXF1d5Z5zB8BcXFxYQkICY+xD/5Dw8HDm7+/P/P39Wffu3dnx48f1Wl91OziX5aOPPmKtWrVi+/btYxcvXmSXLl3iXitXriyzvlKplLVo0YJFRESU2Z+l6KWpV69esYiICPbNN98o3c9ZWVmsR48eTCQSMalUyqRSKROLxaxnz57s5cuXpfIta9Z1RTOxF3fs2DGFcezevZt7n5mZyZo3b84cHBxYq1atGGOMde3alVtfrVo19vr1ay5fTZ+xnTlzJhswYADXYZ4xxt6+fcsGDRqk8ngurni5+o5ZUbmaplX2GRSdc3x58+aNRvvQlAjtWXtiHIR23KxatYq9e/eOez9t2jTm4ODAxGIxs7a2Zp999hmP0ZWNz30o5OuxUN29e5eNGzeOhYWFsbCwMDZ+/HiVg9YIiUk+OqUL+fn5+OKLLxAXFweZTAYzMzPIZDIMHDgQcXFxkEgkCtN+/vnnSEhIwNKlS7nn/U+cOIEJEyagQ4cO+O2335CWloakpCQAH2Z29Pf3BwCsX78ew4YNQ69evbi0J0+exPbt2xEXF4eBAwfqpb7R0dGwt7fHN998g/j4eAwePBh+fn54+PAhJk+erHQmdBsbG5w/f54bE7ssxeu7d+9etedtWL16tUb1AICrV6+ie/fuuH//vsL9XOTOnTu4desWACAgIADVq1fXuDx1lBVH8dvXzZo1w5kzZxASEoJr167B398ft2/fxqhRo1BQUICVK1eiU6dO2LdvHwDNb31HRETgyJEjsLCwQL169QAAly9fRn5+PsLCwuS2VfZIoSFjVlSutrf6VR0LfGjZsiVOnTql9j40JfQIDNGG0I4bkUjEzSc0bdo0zJkzB9WqVUPjxo1x6dIl3L59G1FRUfj55595jbM4IexDIV6PhejgwYPo0aMH6tevL/ed8PLly9i9ezc6dOjAc4SqUUNDhUePHuHq1avIyclBSEgIatSooTKNq6srtmzZgjZt2sgtT0xMRN++ffH8+XOFaQMCAjBq1ChMnjxZbvnChQuxYsUK3Lx5U255ZGQkZs+eDRsbG0RGRiqNq+TEhcqcPn0ap06dKtXBuSyNGzdGTEwMWrRooXb++nTixAl0794dWVlZei/r7du3sLS01Cpt8Yu9mZkZvv76a8yaNQtHjhxB+/btMWHCBCxatAgAMHnyZPz2229c3yBN/1AMGzZM7biUNe4MGbOicoXw5UJXzM3NNdqHpsRUP1OiX0I7boo3NBwcHBAYGIi//vqLW9+xY0f89ddfeP36NY9RyhPaPiSKhYSEoFOnTqV+7I2OjsahQ4dw4cIFniJTn0n20dAlHx8f+Pj4KFxvb2+PS5cuyc2UnZeXBw8Pj1Lburu7Iy8vT2l59+7dK/OLfY8ePfDNN9+UWn7x4kW8f/+e+78iyvo/vH//Hp9//jmmTZvG9UkJDQ1FaGio0liL/Pzzz4iKisKPP/6I4ODgUrOo29vbK0zbrl07bNu2DY6OjnLLs7Oz0bNnTxw9elRh2sWLF8u9Z/+/8/u6detKdXoGoLIhVpyyRplMJsOPP/6I5cuXIz09HSkpKahWrRqmTZsGPz8/jBgxQu1yihQUFKBbt24AwN1h6NSpE7c+IiICsbGxGudbRJs7Q6roO+aKgPYhIabj9evX+OKLL+SWTZ48mUadIlq7efMmNm3aVGr58OHDjeZvAzU0yqmsG0LNmjXD9OnTsXbtWu7X7jdv3mDmzJnc0KKK+Pj44MiRI6Ue4UlISCizwZOYmFjm/zVhbm6OrVu3quz0rUj79u0BoNQjOEyN4deSkpKQn59favnbt28VDhlYJCYmRu69WCyGm5sbhg4diq+//rrU9soaYsWp6pT+ww8/YM2aNZg3bx4+++wzbnlQUBBiY2O1amiIxWI8fvwYTZs2BQDY2dnB3d2dW5+Tk6NxnvpmjDELDe1DQozf4cOHcfPmTYjF4jL/3tGDI0Rbbm5uuHTpUqmnaS5duiT3t0LIqKGhB4sWLUKnTp3g7e0t9zy8paUlDh48qDTtlClTMGHCBFy6dIkbevXkyZOIi4vjHqfQh549e2LHjh2lHtlShzYNnCtXrnD/v3HjBp49e8a9l8lkOHDggMrRvdLS0jQqU9uGWElr167F//3f/yEsLAyjR4/mlterV4/r76EpOzs7HDhwgBszu2jY2yIJCQlK5wYpS0hIiNojeWlz+1UfMVc09vb2tA8JMXLF/27u2LEDQ4cO5d7v378fFhYWfIRFTMBnn32GUaNG4d69e3LfCX/++WeNntLgEzU09CAoKAh37tzBhg0buC+eAwYMwKBBg2BlZaU07ZgxY+Dp6YkFCxZwt8sCAgIQHx+Pjz/+WGna3NxczJ07F0eOHJGbz6LIvXv3FKatUaMGZs2ahZMnT6Jhw4alntmcMGGCwrStW7dWGldZ6tevD5FIBJFIhHbt2pVab2VlhSVLlmicryE8efKkzE7jhYWF3GNsmlqzZg2cnJwUrn/37h1GjRqlUZ4lhzvWNX3EXNFs3LhR6TWB9iEhwlZyItWSvzK/ffsWQ4YMMWRIxIRMmzYNdnZ2WLBgAfekRqVKlTBjxgyl38uEhDqDl1Pxyfz4NmDAABw7dgz/+c9/4OXlVerX7IkTJypMW3K+kOJEIpHSRkqRvLw8PHz4sNSjUGXNDv3gwQMwxlCtWjX8/fffcHNz49ZJpVK4u7srHdkL0Lxh1atXL8TFxcHe3l7lpI7KRl5q2LAhJk+ejMGDB8t9/rNmzcLhw4dVPvJVPH5j6xxtbBP2EeGiz5Rog46b8qN9aBwKCgrw559/olOnTvDw8OAGFFB31E6hoDsa5VT0ZV6bCd2UKTnLdhFfX1+Fafbv34+9e/dyQ6BpQtPHkIp7/vw5hg0bpnCinbKeWS2ahEadSesUGTlypNKGVUkODg7cNuWZ1PH777/H0KFD8eTJExQWFmLbtm24ffs21q5diz179midb35+Pk6dOoUWLVrAzMwM2dnZmD59OmQyGUaNGoWgoCCt89YXY4xZaGgfEmLc6Bwm+mBmZobRo0dzo40aWwODw9P8HSbD1taWpaamljlxW1nLSk7oVlJKSgpr0aIFt23Rq6zJ4Ery8/NjN27c0KoeM2fOZLm5uaWW5+XlsZkzZypNO3DgQNa8eXN29uxZZmNjww4dOsTWrVvHatWqxfbs2aNW+devX2f79+9nO3fulHsp4+DgwE6cOKFW/rp2/Phx1r59e+bm5sasrKxY8+bN2cGDBzXKo/ikSevWrWNisZgBYBYWFuz06dPMwsKCWy8SidiqVavKTKvOhEsFBQVs/vz5rHHjxszDw4M5OTnJvYQYs6JyhTBJl65s3rxZo31oSkz1MyX6JbTjxhjPYaHtQ6JY69at2fbt2/kOo1yooVFOycnJcrMtM8bY4cOHWYMGDdiBAwfYq1ev2KtXr9iBAwdYo0aN2KFDh5Tmp2yW7UuXLilNu27dOtanT58yGwyqiMVilp6eXmp5ZmamygaOp6cnO3PmDGOMMTs7O3b79m3GGGM7d+5kzZs3V5o2NTWV1a1bt1TjTJ1GWXkbVkeOHCm1PCcnR2XDSleKX+xdXFxY5cqV2bZt21j9+vWZVCpl3t7eLDc3l71584ZVrVqVOTs7l5lWnT8U06ZNY15eXuyXX35hlpaWbPbs2WzEiBHMxcWFLVq0SJAxKyrXlP4waroPTYmpfqZEv4R23BjjOSy0fUgUi4+PZ9WqVWNLlixhp06dYpcvX5Z7GQNqaChQWFjINm3axMaMGcN69+7NIiIi5F7K1KlThyUnJ5dafvz4cVa7dm2laa2trdnNmzfVjrN+/fosJCSEe9nZ2TFbW1sWFBQktzwkJERpPiKRiGVkZJRafuTIEebq6qo0rZ2dHUtLS2OMMebr68vdZbh37x6zsrJSmjY8PJx9/PHH7Pnz58zW1pbduHGDJScnsyZNmrDjx48rTVuehpVIJGJSqZQtWLBAbvmzZ89UNnCqVq3KMjMzSy3PyspiVatWVTuG4hd7kUjEdu/ezRhj7N9//2UA5H4F27FjBxOJRGWmVecPRbVq1bi7S7a2tuzu3buMMcYWLVrEBgwYIMiYFZVrSn8YNd2HpsRUP1OiX0I7bozxHBbaPiSKlXwypviPsqq+qwgF9dFQYNKkSfj999/Rtm1beHh4qD1MKACkpqaWmoAO+NAv4P79+0rTBgYGIjMzU+2yyjuykJOTEzf6U82aNeXqKZPJkJOTIzeEa1lq1aqF27dvw8/PD/Xq1cPvv/8OPz8/LF++HF5eXkrT/vXXXzh69ChcXV0hFoshFovRokUL/PTTT5gwYYLSuS8WLFiA1NRUeHh4wM/Pr9REgaqGbF27di2++OILXL16Fb///jukUqnS7Yvcv3+/zH4n7969w5MnT9TKoyxFQyAWzb1SPJ6SddPUs2fPEBwcDACwtbXFq1evAADh4eFaz58C6DfmioL2ISHGjc5hoi/l6T8rFDTqlALOzs5Yv349unbtqnHaVq1awdLSEuvWreNmCE9PT8eQIUPw9u1bHDt2TGHao0eP4rvvvtNqlm1trFmzBowxbpbJ4p2kpVIp/Pz8VE4yuH79ehQUFODTTz/F+fPn0blzZ7x48QJSqRRxcXHo16+fwrROTk64cOECqlatCn9/f/zxxx9o27YtUlNTERwcrHQm9ZkzZyqNa/r06QrXicViPHv2DK9fv0b37t3h6OiIHTt2gDGGSpUqldmQKOrw37NnT6xZs0ZuX8lkMhw5cgSHDx/G7du3lcZVpPjIH46OjnB3d8eGDRsQFRWFEydOwM/PDykpKQCA4OBgPHz4kGsgaDpqSK1atbB27Vo0bdoULVq0QHh4OKKjoxEfH4/x48cjIyNDcDErKteURklxdnaGm5ub2vvQlJjqZ0r0S2jHjTGew0Lbh8TE8XtDRbj8/Pw0eoSpuDt37rCgoCAmlUqZv78/8/f3Z1KplNWpU4fduXNHadqSfRQ06Qxe5OzZs2zt2rVs7dq17Ny5c2qlSUpKYu/fv1drW1Vyc3PZ+fPn2fPnz1Vu26JFC66j04ABA1jnzp3ZiRMn2JAhQ1idOnV0Ek9ZivdJefXqFevUqRPz9vZme/bsUbiflXX0l0qlrGbNmtwtdHUUv329fPlyJhKJuEeSduzYwWxsbLjPHwCbN29emWnVufX91VdfsR9++IExxtjGjRuZmZkZq169OpNKpeyrr74SZMyKyjWlW/1xcXEa7UNTYqqfKdEvoR03xngOC20fEnk7d+5k+fn53P+VvYwB3dFQYM2aNThw4ABWrVqlcpK9sjDGcPjwYW7CvoCAALRv317lI1jK7nYAyifHe/z4MQYMGICTJ09yj269fPkSH330ETZu3Ahvb2+FaS9cuABzc3Pu8ZqdO3di9erVCAwMxIwZM9R6rCg/Px9paWnw9/eHmZl6T+UdPHgQubm56NWrF+7evYvw8HCkpKTAxcUF8fHxZU7mpwtFdzSKJlcqLCzEpEmT8Ntvv6GwsLDMOxpFqlatirNnz8LV1bVcMZT8VSk3NxeHDh1C+/bt4enpiZcvX2LSpEnIzc3F8OHD0aVLF4VpNf1F6q+//sJff/2FGjVqoHv37oKP2ZR/gcvIyFB7H5oSU/5Mif4I8bgxtnNYiPuQ/E/x7ydisVjhdiKRSOl3FaGghoYCb968QUREBE6ePKnV8/9F3r59CwsLC436eGirc+fOePnyJdasWYNatWoBAG7fvo1hw4bB3t4eBw4cUJi2cePGiI6ORu/evXHv3j0EBgaiV69eOHv2LLp164bY2FiFafPy8jB+/HisWbMGAJCSkoJq1aph/PjxqFy5MqKjozWqx4sXL7i+IyU5OzsjJSUFrq6uCrcpno8ia9asQf/+/blna4usXr0ax48fx+rVqzWKWRvG+MWbJuwjukKfKdEGHTflR/uQGBJ1Bldg6NChOH/+PAYPHqxxZ/DCwkL88MMPWL58OdLT07kv3tOmTYOfnx9GjBihNP3bt29x5cqVMifsUzbZ37Fjx3Dq1CmukQF8eDZ/yZIlaNmypdIyU1JSUL9+fQDA5s2b0bp1a/z55584efIk+vfvr7Sh8fXXX+Py5ctISkpC586dueXt27fHjBkzFDY03r9/DysrK1y6dEluQiNnZ2eFZcXExHCT1iiLSZWhQ4eWuXzYsGEYNmyYyvRHjhxROCP5qlWrtI5LkYyMDK4/hbZu376NJUuWcJP/BAQEYPz48XLHiy7pIuaKjvYhIcaNzmFS0VFDQ4G9e/fi4MGDaNGihcZp58yZgzVr1mDevHn47LPPuOVBQUGIjY1V2tA4cOAAhgwZUubIU6puk/n4+OD9+/f/j73zDmsq+fr4N4HQOwiodEEQEQUb9obY+6qLHSsWVHSx7NpARVfXrtgVdXXVtfcCInZFEazYEXWxd1Tqef/gzf0Rktx0EjCf57kPZO6dmTPllinnHKHw/Px8VKhQgVVmImI+mOPi4tC+fXsmTUlWsPbt24cdO3YgICBAYEBWtWpVPHr0SGw8Ho8HJycnmZb+ig4QxA0WpCEqKor1/LRp08Sei4yMRFRUFGrVqiWVR3JxFC33mTNnEBQUBB0dHZHXnj59GqNHj2ZeVrLEBYDdu3fj119/Ra1atRjl/kuXLsHHxwfbt29Ht27dNE5mefMtSxSvw7JETk4O8//y5csRHh4uteU3LT8vpa3faOI9XNrq8Gdm9OjRcHd3x+jRowXCly9fjocPHyo04VpiqFNBRJPx9PSU2xlKpUqVKC4ujoj+5zmciOju3btkYWHBGtfd3Z1GjBhBL1++lDnfffv2UZ06dSgpKYkJS0pKooCAAImeJZs1a0b9+vWjzZs3E4/HY5TWT58+Tc7OzqxxDQ0NmTIWLW9KSgqZmZmxxl23bh21bduW3r17J6F0hfAdIEpzsFGjRg2Bo2rVqmRkZERmZmYSfY7Y29vT5s2bpZJXHLt376YKFSowCnkAyMHBgXbv3i3y+h07dhD/dpU1LlGhH42pU6cKhU+bNo3c3Nw0UmZ58y1LFK3DskRERASjKMs/dHR0KCIiQt2iadFgSmO/0bR7uDTW4c9MhQoVRBr1uXbtGlWsWFENEsmO5vR+DePQoUPUqlUrxhGdLBgYGFB6ejoRCX543759m4yNjVnjmpqaMs7UZMXCwoL09PSIy+WSnp6ewP+WlpYCR3FSU1PJx8eHzMzMaMaMGUz4qFGjJDp0a9SoES1dupSICsv7+PFjJm6rVq1Y49aoUYNMTExIX1+fKleuLNHJoCiLXIpY6CrKp0+fqEuXLhIHEVZWVnK3EVHhhzPfSom4o7hVK364uLj868R9fBsaGoq0eHb//n2JThXVJTNbvtLELQ2IcsYkqg7LEhEREaz9SPvBo0UUmtpvStM9rKl1qEU8+vr6It/dDx48IH19fTVIJDtaZXAxWFpa4tu3b8jLy4ORkZGQMjibonHNmjURHh6OPn36wNTUFKmpqXBzc0NUVBROnjyJs2fPio07cOBANGjQQKIehyj4ytjSIO22ox8/fkBHR4fV6dC5c+fQpk0b9OnTB7GxsRg2bBju3LmDCxcuIDExETVr1hQbV1ZfGJKschWFzUKXOG7evIkOHTqwOlacOHEiTExM5HJ0l5+fDxcXFzx//lzsNcbGxvj1118FtmQ9evQICQkJcHBwEBuXw+HAwcEBT548EdpW1LZtW3Tv3l1I/2Tjxo3Yvn07jh8/rnEyS8qXLW5pgcPhoGbNmvDz8xM6R0RIS0vD+fPn8eXLlxIxKKFqcnJyYGNjI6TXVBQul4u3b9+W6q0cRMT4AOI7I/2ZKCgoYLbcGhkZKdx3S6LfyNtmbPcw8L/noLSfWsquOz4lfe/97PeAsvDx8UFoaChGjRolEL5s2TKsXLkSd+7cUZNk0qPV0RCDIvvepk2bhv79++PFixcoKCjAnj17cO/ePWzevBmHDh1ijbt8+XJ0794dZ8+eFemwr/g+vaIoorMAFJrC3bVrFx49eoSIiAhYWVnhzp07sLOzQ8WKFcXGa9iwIVJSUjB37lxUq1YNJ06cgL+/Py5evMiYyxUHm1M9UcgzeJCFT58+SXSs9OPHD6xZswZxcXHw9fUVaqOFCxeKjXv27FnWD3ag0CJInz590LRpUyZs586dSEhIYI1LRHj27BnOnj0rEBcoNCIwceJEXLt2DQEBAQAKdTT+/fdfREZGMs4I+ddqgsyS8mWLW1owNTWFk5MT1q5dK3Tu9evXjMNPvgGEn4GCggJWgxCljVevXjFmtH8W3r59y/TdkkKZ/UaWNmO7h4H/PQelRR11x0dV997PeA8oi3HjxmHUqFF48+YNY+4/Pj4eCxYsKB36GdAONMSiyEd7p06dcPDgQURFRcHY2BjTpk2Dv78/Dh48iJYtW7LG/eeff3DixAkYGBjg9OnTArMZHA6HdaBRlB8/fggofAHsXsVv3LiBFi1awMLCAunp6RgyZAisrKywZ88eZGRkYPPmzaz5VapUSeyDVhpycnJEWnBycnISklNafH19xZ5bunSpwG8iQmZmJrZs2SLR5vmNGzcYC123bt0SOCdp9ikzM5P1vLjrnJ2dYWdnh1evXskcFwBGjBgBAIiJiUFMTIzIc4BogwPqklnefEsTAQEB+PDhg7rF0KJFi5xIuoednZ3h7u5eghJpKUsMHDgQ2dnZmD17NmbOnAkAcHFxwcqVK9GvXz81Sycd2q1TYsjIyGA9X/wDWFnY29tj9OjRmDRpksxLjVlZWZg4cSJ27tyJd+/eCZ1ns+4UGBgIf39/zJs3T2C714ULF9CrVy+hrUSfP3+WWi62Ac79+/cxaNAgXLhwQSCciER+9HK5XHA4HInL0JIsdLm6ugqlW65cOTRv3hyTJ09W2Qzy6dOn0axZM4nXJSQkCM3SKxJXEdQls7rKqyl8/fqV6YevXr0qE7buly9fLpVfnblz5wptFShNZGVlMbPSX758YXwW/Cwou++WRL/RlDZT1X1f0veeptRnWeLNmzcwNDQsdXWpHWiIgf9BKw5pTLJevXqV8Vng7e3NqqvAx8rKCklJSahUqZL0wv4/I0eOREJCAmbOnIm+fftixYoVePHiBVavXo25c+eid+/eYuOam5sjOTkZlSpVEhhoPH36FJ6envjx44fA9ZLqBxA/WChKgwYNoKuri0mTJok0FVu9enWB30+fPmXNsyjOzs5SXysv/K09bF7Xi8LXO3jx4oXIwZI0OgvyxFUEdcmsrvJqCmXRqVZOTg6MjIxYnwk6Ojr49u1bqdbRKIttJwvKLn9J9BtNaTNVyVHS956m1Gdp5/v37yAiGBkZASj8Btq7dy+8vb0RFBSkZumkpOT0zksXKSkpAkdSUhKtWbOGvLy8JFq6efbsGTVs2JA4HA5j5YnD4VCDBg3o2bNnrHHHjh1Ls2fPlktmR0dHSkhIIKJC61V8SwWbN2+mNm3asMYtV64cJScnE5GgpawTJ06Qg4OD0PWnT5+W+mDDyMiI7t69K2tRlUpGRgZlZGRIfX1+fj5FRkaSmZkZY+nK3NycoqKiKD8/X2J8viUlcdaU+P1r3rx5ZGFhQcbGxtSyZUvWuNJYYTp9+jS1b9+eKlWqRJUqVaIOHTrQmTNnpCqzumRWJG5p4NixY7RhwwaBMH4dGhkZMeX9+vWrmiRUPj+D5ZuvX7+WybaTFlWUX9X9Rl6Z2e7hos9BVcshDSV57/3s94CyaNmyJa1cuZKIiD58+EC2trbk4OBABgYGFBMTo2bppEM70JCRQ4cOUZMmTVivadWqFdWtW5fS0tKYsLS0NKpXr55Ec69hYWFkbm5OjRs3plGjRlF4eLjAwYaxsTE9ffqUiIgqVqxIly9fJiKix48fSzSrO2jQIOrcuTPl5OQwJmqfPn1Kfn5+NGbMGLHxcnNzKTIyUuIAShy1atWis2fPyhWXiOjhw4c0atQoatGiBbVo0YLCwsKkMj2bm5tLU6ZMERgsmJmZ0R9//EE5OTmscSdNmkTlypWjmJgYSk1NpdTUVFqxYgWVK1eOfv/9d6nk3r17Nzk4OAg85PX09JgP58TERAJA1tbWVL16dQJAnTt3FhvX0dGR9aN7y5YtpKurSz169KAlS5bQkiVLqEePHsTj8Wjr1q0aKTNbvtLG1XTKly9PjRo1Yn4XrcNq1aqV2Rd1REQE6ejoCLRpWbLl/7N/ZKmq/KrsN/LKzHYPF38OqlIOaSmpe+9nvweUhbW1Nd26dYuIiNauXUu+vr6Un59PO3fuJC8vLzVLJx3agYaMPHjwgIyMjFivMTAwYFYHinL16lWJPguaNm0q9mjWrBlr3GrVqjErCC1atKDx48cTEdGSJUskOnb5+PEjBQYGkoWFBeno6JCjoyPxeDxq3LixxIeEiYmJXP5GiIji4+OpXr16lJCQQG/fvpXJ6d6xY8dIT0+P6tSpwwzE6tSpQ/r6+nTixAnWuKGhoWRra0urVq1iBgurVq0ie3t7Cg0NZY1bvnx52r9/v1D4vn37qEKFCpIL/f/k5eVRQkICbdu2jbhcLjNrQVTYfgYGBszv/v37C/wuGjchIYHy8vJY8/Ly8qKFCxcKhS9YsECmh1VJyiwuX1njajI6Ojq0evVq5nfROizrL+rs7GxatGgRjRo1ihYtWkTZ2dnqFklplPW2k4Qqy6+qfiOvzGz3MJHwc1BVcshCSdx7P/s9oCwMDQ2ZCeTu3bszfs4yMjKk8oGlCWgHGmIo/sH78eNHunv3LvXs2ZOqV6/OGtfDw4NZTSjK5cuXqVKlSiqSmGjhwoW0ZMkSIiI6efIkGRgYkL6+PnG5XFq8eLFUaZw9e5ZWrFhBf/75J508eVKqOB07dqTY2Fi5ZOZvgZHH6V6NGjVo4sSJQuETJ06U6N3bzMyMjhw5IhR++PBhid7M9fX16d69e0LhaWlpMr1QigKALl26xPy2tLSkhg0bMr/j4+NJkZ2Oenp6Snf6o2qZfwbY6lD7oi69/OxtVxrLL6/Myn4Olsa6E0VZKYe6qVatGi1ZsoQyMjLIzMyMLly4QESFE9d2dnZqlk46tOZtxWBhYSGkmExEcHR0xPbt21njzp8/H2FhYVixYgVq1aoFoFAxfMyYMfjrr7+kyv/hw4d49OgRGjduDENDQ0axmo3w8HDm/8DAQKSlpeHatWtwd3dnNfValIYNG6Jhw4ZSXcunTZs2mDRpEm7evImaNWsKKX0V98tQFFnsixfn7t272Llzp1D4wIEDJdqX1tfXh4uLi1C4q6urREW46tWrY/ny5UImcpcvXy6kvC4tXC4Xd+7cQd26dZGXl4cPHz6gRYsWzHm+4yN5cXR0RHx8vJCZxbi4ODg6OmqkzD8DkupQixYtmo32OahFlUybNg29evVCeHg4WrRogXr16gEATpw4IdZJpMah7pGOplJcofnMmTN09+5dys3NlRjXwsKC9PT0iMvlkp6ensD/fOVw/lGct2/fUvPmzZkZfb5SdkhICI0bN05snjk5OdS8eXO6f/++3GWOi4ujyZMn06BBgygkJETgYIO/KiHqkLQqoQgODg60c+dOofAdO3aQo6Mja9zIyEgKDg6mHz9+MGE/fvyg3r17M0uT4jh9+jQZGxtTlSpVaODAgTRw4ECqUqUKmZiYSK1cXRxnZ2eytbWlS5cuUceOHQkAvXr1ijn/22+/yb1aQkQUExNDenp6FBoaSps3b6bNmzfTsGHDSF9fn1atWqWRMv8MsNWhdkaw9PKzt11pLL+8Miv7OVga604UZaUcmkBmZiYlJycLGJu5fPmygCGdZ8+eSWWMRh1oVzTEoIgHakW8NYaHh4PH4yEjIwNVqlRhwnv27Ilx48ZhwYIFIuPxeDyZnNkVJzIyElFRUahVq5ZIM7NsFHeyJysfP37E+vXrGVPAVatWxcCBA2Fubs4ab8iQIRg6dCgeP36M+vXrAwDOnz+PP//8E+PGjWONe/36dcTHx8PBwYFZhUhNTUVOTg5atGiBrl27Mtfu2bNHIG6TJk1w//59rFixAmlpaQCArl27YsSIEahQoYJshf9//v77bzRv3pzx2v3rr78KeFL9+++/BfqDrAwfPhz29vZYsGABswpUpUoV7NixA506ddJImX8GJNWhFi1aNBvtc1CLqrG3t4e9vb1AWJ06dQR+e3t7IyUlBW5ubiUpmlRo/WgU4cCBA2jTpg14PB4OHDjAeq247UB5eXnYtm0bWrVqxTirkQV7e3scP34c1atXF/Bn8fjxY/j6+uLr169i44aHh0NfXx9z586VOd/y5ctj3rx56Nu3r8xxFeHq1ato1aoVDA0NmRsnKSkJ379/x4kTJ+Dv7y82LhFh8eLFWLBgAf777z8AQIUKFRAREYHRo0ezDpZCQkKklnHjxo1SX6sIP378wIEDB+Du7i5U7p07d8LPzw8eHh4lIou0qErm3NxceHl54dChQ2X+JS2uDrV26EsvP3vblcbyKyKzMp+DpbHuRFFWylFaKPq9qGloBxpF4HK5ePnyJWxtbVm9cktyQmdkZIS7d+/K5TDO1NQUycnJ8PDwEOg4/A9yUR6/+YSFhWHz5s3w8PAQqSuxcOFCsXGtra1x5coVuRwFAkBiYiL++usvAQeFERERaNSoEWu8Ro0awd3dHWvXroWubuECW15eHgYPHozHjx/jzJkzUuX/5csXAFC6R+/z58+jVq1a0NfXFwj/8eMHbty4gdevXwut6LDppACFD+DExERkZGQgJydH4Nzo0aMBAPfu3YOxsTH27NmDoUOHwsDAQEgnpDj8uGzk5OSIlJnN031ycjJ4PB6qVasGANi/fz82btwIb29vzJgxg9Fp4ctc1Hnhs2fPGMd6AHDlyhVs27YN3t7eGDp0KKusFStWRFxcXJkfaBSlaB2WpRe1nZ0dunTpgujoaFhZWalbHJVTltpOHpRZ/rlz5+Lo0aPo2LEjxo8fj2XLliEqKgp5eXno0qULNmzYoFEyi3oOqkMOaTl06BC6dOmC3Nxcpab7s98DJY0mDzS0OhoqoEmTJrR371654rZp04amTJlCRMT4s8jPz6fu3btTt27dWOMqYhp3woQJFBUVJZfMivhoMDAwEOmw7/bt21Kbbnv16hWdOXOGzpw5Q69fv5arDOIwNTVl9GT4HD16lMqVKyeXTkpycjLZ29uTmZkZ6ejoMOkYGxuTo6Mj+fj4CDmnq1mzJr1584ZcXFzEHq6urqz53r9/nxo2bCiXda9atWrRrl27iIjo0aNHZGBgQMHBweTu7k4hISFCMnO5XAoICKA3b95Qw4YNafPmzURUuM/UzMyM6tWrRzY2NhQZGcma7+zZs6l///5S6UWVZtLT00XWYZ06dcrMHuei/dnb25u2bNmibpFUys++P11Z5Q8NDSUAZGhoSABo0KBBxOFwyNPTkzw8PAgAq+5iScks7h7mPwdLSg552LFjh0qsA/7s90BJU9TRsqahXdFQATt37sTkyZMRHh4ucmWBzQLUrVu30KJFC/j7++PUqVPo2LEjbt++jffv3+P8+fNyrzhIYsyYMdi8eTN8fX3h6+sLHo8ncJ5tNaRKlSoYOnSogNUrfpy1a9cyqxyisLOzw5YtWxAUFCQQfvz4cfTr1w+vXr0SG/fLly8YMWIE/vnnH2aGXkdHBz179sSKFSsk6nhIg6hZAg8PDwQFBWHatGkyb49r2rQpKleujFWrVsHc3Bypqang8Xjo1q0bkpOTkZ+fDy8vL3h5eQEA0tLSkJaWBiMjI7x48QJ79+7FoUOHsHv3bpnybdCgAXR1dTFp0iSROjhs1rLMzc2RnJyMSpUq4c8//8SpU6dw/Phx7Ny5Ez179gQAsTLzeDxMmDAB165dQ5MmTbBjxw6cP38eJ06cQGhoKB4/fiw23y5duiA+Ph4mJiaoVq2a0H1UXHemNPLo0SNUqVKF2SpWvA75rFy5EidPnpS53TUFDofDrIQdO3YMP378gIGBAdq3b4958+bB1dVV3SIqlZ99NldZ5TcyMkKbNm2we/duzJ8/HxMmTECnTp2wb98+AECHDh2QmJiIz58/q01mSfewrM9uZfedmjVrsp7/8OEDnjx5AmV/Cv7s90BJo8krGlplcBbi4+MRHx8vcqsJ23Ltr7/+CkBwKwuHw2FM1LJtu/Lx8cH9+/exfPlymJqa4uvXr+jatStGjhyJ8uXLK1gi8dy4cQM1atQAUDjYKYokxfDHjx+jQ4cOQuEdO3bE77//zhq3Z8+eGDRoEP766y8Bhe6IiAgEBwezxh08eDCuX7+Ow4cPMybfLl68iDFjxmDYsGESzRDLy6tXrzBu3Di5dHBSUlKwevVqcLlc6OjoIDs7G25ubvj48SMKCgpw8+ZN+Pj4CMS5ceMG6tatCw8PD7x9+xaDBw+WK99r164xL0FZICKm/8fFxaF9+/YACg0IAGCV+fPnz/jjjz8wePBgxMXFMdvKvLy8kJmZyZqvhYUFunXrJrO8pYlffvkFXC5XZB1evnyZUTAdPny4XO2uSVSqVAl79+4FUKj3NG/ePOzatQu7du2Cs7MzwsLCMH78eDVLqUWT+P79O8aMGQMAiIiIwIQJE9CnTx/m/PDhw3H48GF1iQeA/R7mPwd9fHzw4sULtdzDycnJMDQ0FNr+y6f49l0tpRNZDPiUOGpdT9FgZsyYwWxf6NSpE3Xu3FngYCM9PZ31UBWdO3emLl26CB1du3alXr160bRp0ygtLU3p+VaqVEmkidSVK1eSu7s7a9zs7GwaPXo0YwKYy+WSvr4+jR07VsD0rCiMjIzo7NmzQuFnzpyR6L1dWkQtR4aEhNC6devkSs/GxoYxQezh4UHHjh0jIiIul0s8Hk9svJkzZxIAMjAwoJkzZ1JGRoZM+daqVUtkXUlDs2bNqF+/frR582bi8XiM4z8ul0sWFhYSZXZ0dKQzZ86QgYEBpaSkEBHRxYsXJXqr/xnQ0dGhWbNmiTxXdOtBo0aNSlgy5QKAbt26JRT+5s0bGjRoEJmZmZUp544/+7YRZZWfw+EIOFYFQAkJCczvxMREpfUbRTyDi7uHif73HGzatKlK5RAHj8ej0NBQsee3b9+u3TpVBtDkrVPaFQ0xrFq1CrGxsXJZYZJHCbwo8ioam5ubY9++fbCwsGCWS5OTk/Hx40cEBQVhx44d+PPPPxEfH48GDRooJGNRxo8fj9GjRyMlJUVgVSI2NhZLlixhjaunp4clS5Zgzpw5ePToEYDCmU8jIyOJ+VpbW4vcHmVubg5LS0s5SiIdy5cvR/fu3XH27FlUq1ZNaJsZm1K2n58fkpKS4OHhgSZNmmDatGl4+/YtCgoKWJWeW7VqhalTpyI6OhqbNm1CZGQkmjdvjkGDBqFz584SnQz++eefmDBhAqKjo0XKbGZmJjbu4sWL0bt3b+zbtw9//PEH4/SvoKBAyMSeKJm/fPmCpk2bon///swWrQMHDrDGLcqbN29w7949AICnpyfKlSsnVbzSQH5+vtC2QVEcPXq0BKQpeWxsbLBu3TqsW7cOx48fV7c4WjQMQ0NDnD17Fm3atAFQaFyiqAnxS5cuCT3LShpJ9zD/OaiIc1pFqFChAi5fviz2vEbPhGuRmjt37shtXl/VaAcaYsjJyWE+muXlzp07Ii0LsQ0Wjh07hn79+uHt27dC5yRtu7K3t0evXr2wfPlyxmpWQUEBxowZA1NTU2zfvh2hoaGYOHEizp07JxD3x48fWLZsGRISEkQOcJKTk8XmqwwfDUZGRoxVI2mZMmUKxo0bhy1btjA2pl++fImIiAhMnTpVprTEIeoh/M8//+DEiRMwMDDA6dOnBa7hcDisA43o6GjGQtbs2bPRr18/DB8+HAB7v7h8+TK4XC7Cw8MRHh6O5ORkbNy4ESNGjMCIESPQq1cvDBo0SKyuRWBgIAAIeZ0mKbbz+fr64ubNm0LhHA6H2UbFJvPbt2/x+fNngcHf0KFDJQ4ms7KyGEtqRXVw+vXrh2XLlkk1GNV0uFwukpKSULt2bXWLolIsLCyY/driaNWqVQlJo6W0MGrUKIEtw8UtOZ06dQp169YtabEEkHQP85+D6uLAgQPMO0cUPXr0QI8ePUpQIi2ycvXqVezcuVPk9yRfV9HR0VEdokmFVhlcDBMnToSJiYlcH6yPHz9Gly5dcPPmTUY3A/jfRyvbR50iisblypXD+fPnUblyZYHw+/fvo379+nj79i1u3ryJRo0a4ePHjwLX9O7dGydOnMAvv/wCOzs7oQ/s6dOnyySLKP755x907NhRQCksKysLc+fOFasLw6Ys7Ofnh4cPHyI7O5sxz5qRkQF9fX0hm+VsAyU2RClY2dvbY/To0Zg0aZLSXiCVK1fG69ev8fz5c6EPss+fP8PJyQm2tra4f/8+E/7ff/9hzZo1mDt3LnR1dfHjxw/Uq1cPq1atQtWqVQXSSExMZM1fHgeV8sgsC8OGDUNcXByWL1/OrMCdO3cOo0ePRsuWLbFy5Uq50tUk2OowMzOTmaHSKlOWLn52RdjSWH55ZVb2c7A01p0oyko51M327dvRr18/tGrVCidOnEBQUBDu37+PV69eoUuXLiXm50sRtCsaRSjqTbqgoABr1qxBXFyczFaYxowZA1dXV8THx8PV1RVXrlzBu3fvMH78ePz111+sMiiiaJyXl4e0tDShgUZaWhozuDEwMBA5S3/o0CEcOXJEqVuqijNs2DDUrVtX4KN98ODBSExMRN++fWX2SN65c2cVSCmIqJmgnJwc9OzZU6mzVFu3bkVAQAAsLCwQFBQEPz8/EBGSk5MRFxeHgoICHD16FLm5udi/fz82bNiAkydPolatWli+fDmCg4Px5s0bTJkyBd27d8edO3cE0lfE031+fj4WLVokNKOSn5+Pz58/s8psZGTEagWDbSC5e/du7Nq1C02bNmXC2rZtC0NDQ/To0aNMDDQktXtZp6CgAHl5eRK3/mnRoqlI++zWJE6ePImUlBT4+/sLrXJr0Syio6OxaNEijBw5EqampliyZAlcXV0xbNgwlRoIUirqUw/RPNj8UMjik8La2ppSU1OJiMjMzIxRwI6Pj6caNWqwxlVE0TgsLIxsbGxo4cKFdPbsWTp79iwtXLiQbGxsaPTo0UREtHbtWmrQoIFQ3CpVqjAyqwpRykrm5uZ07tw5leYrjn///Ze6d+9OdevWJT8/P4GDjbFjx9Ls2bPlyvPly5fUp08fKl++POno6Aj5tbCxsRHwOQCArK2tKS4ujkaNGkXW1tZkZWVFY8aMoZs3bwqln5mZSRwOh4iIUlNTKT8/n/mf7WBj6tSpVL58efrrr78YZfRBgwaRtbU10+fEybx48WKBY/78+dSrVy+ysrKiOXPmsOZraGhId+7cEQq/deuW0pT9NYHExESxdYgyokz5/ft3atCgAZmbm1Pjxo2JiKht27ZM+dzc3OjLly9qllJ5/OyKsMoq/4YNGyg7O5v5PXXqVDI3Nycul0tGRkY0ZMgQZYhLRIrJzHYPx8XFlZgcoggKCqJ58+YREdHjx4/J0tJSQEYbGxuVGKn52e8BZWFkZERPnjwhIiIrKyu6ceMGERHduXOH7O3t1SiZ9GgHGirAwsKCHj9+TEREbm5udOrUKSIievjwoUQndFlZWdS2bVvq378//fXXX4wDPP7BRl5eHs2aNYvs7e0ZB3L29vY0e/ZsysvLIyKip0+f0rNnz4TiHjlyhFq3bq1Sq1iiBhouLi4iPyZVzZIlS8jExIRGjRpFenp6NGzYMAoMDCRzc3P6/fffWeOGhYUxH0yjRo2i8PBwgYON1q1bk7e3N8XExNDevXtp3759AgdR4ctgw4YNtGHDBnr48CETt3nz5rRt2zZWa1y5ubl0+vRpIiq02PLq1Svmf76DPlmdDLq5udGhQ4eIqLAN+TItWbKEgoODWWUWx/Lly2nAgAGs1zRv3py6d+9O379/Z8K+fftG3bt3pxYtWkjMo7RRvA7L0oua7yyyZs2apK+vT97e3qSjo0PDhw+nIUOGEJfLpTZt2qhbTKVRltpOHpRVfhSxVjZlyhRmUNqzZ0/y9PQkADRhwgSNkVnW56Cq5CiKjo4Obdu2jYiIPD09ydDQkLZt20YfPnygHTt2kImJCVWuXFnhfIrzs98DyqJixYrM4KJatWpMW164cIHMzMzUKZrUaAcaUpCRkSGTOdGGDRsynsGDg4OpdevWdO7cOerXrx9VrVqVNe66detIV1eXTExMyNnZWSbvz0X59OkTffr0SerrX79+TU2bNiUul0smJiZkaWkpcCgDUQONLVu20C+//EJZWVkyp5eXl0fz58+n2rVrk52dnUwye3p6MjdsUbmmTp1KI0eOZI2ryGqXiYkJXb9+XfpCKkB6ejoVFBQw/8trctnIyIiePn1KRET29vZ07do1Iir0Ei7vg+7Ro0dkamrKes3NmzepQoUKZG1tTc2bN6fmzZuTtbU1VaxYUaSp1LJGWXpR6+rq0tSpU4mIKC4ujgAwq6xEhauE+vr66hJP6ZSltpMHVQw0zMzMKCAgQOB8y5YtycTERCFZ+WhKmylbDgDMrgFdXV1aunSpwPktW7ZInGySB02pz9JOcHAwLViwgIiIoqKiqFy5cjR48GBydnamLl26qFk66dDqaIghLy8PkZGRWLp0Kb5+/QoAMDExQVhYGKZPn85qUm/KlCnIysoCAERFRaF9+/Zo1KgRrK2tsWPHDtZ8//jjD0RGRiqkaFzUHKiXlxdsbGwkxgkODsaLFy8QHR0tUhlcmfj5+Qmk//DhQ9jZ2cHFxUWoXtmUuCMjI7Fu3TqMHz8eU6ZMwR9//IH09HTs27cP06ZNY5UhIyODsSpmaGjI6GL07dsXAQEBWL58udi40popfP78OSpUqCDQjo6OjnJ7YN20aRNsbGzQrl07AMCECROwZs0aeHt7459//hEyq1z0tyImlx0cHJCZmQknJydUqlQJJ06cgL+/P5KSksQ6gZLErl27YGVlxXqNj48PHjx4gK1btzJesoODg9G7d28YGhrKla8W9ZCXl8f0W/6e8KJWprp06YLFixerQzQtpYQvX75g5MiRAmHh4eE/hS6TIvB4PJw8eZLRvyyuD8Xj8YSMsGjRHJYvX44fP34AKPw+5PF4uHDhArp164YpU6aoWTrp0A40xBAWFoY9e/Zg3rx5Al6nZ8yYgXfv3rEqohZ9gbq7uyMtLQ3v37+HpaWlxA94RRSNFTEHeuHCBVy8eFGseVRloiwl7q1bt2Lt2rVo164dZsyYgeDgYFSqVAm+vr64dOkSq5lZe3t7vH//Hs7OznBycsKlS5dQvXp1PHnyRO6BQHG8vb2RkpIioAy9ePFiTJo0CatXr4aLi4tM6UVHRzP97uLFi1ixYgUWLVqEQ4cOITw8nDFzJ44tW7Zg1apVePLkCS5evAhnZ2csXrwYrq6urGaIu3Tpgvj4eNStWxdhYWHo06cP1q9fj4yMDISHh7PmWXxQSUR4+fIl3rx5g5iYGIllNjIywpAhQyRep0Wz4XK5eP78OWOK1NTUFLa2tsx5/mSOFi3FOXnyJO7evQsulyvSYqOyntdllaCgIMyZMweNGjVC27Zt8dtvv8HDwwPNmzfHmTNnEBoaiooVK6pbTC1iKDohx+VyMWnSJDVKIx/agYYYtm3bhu3btzOOgoBCfwKOjo4IDg6WyeLN58+fcebMGXh5ecHLy4v12v79+2PHjh34/fffZZZ53LhxSExMxMGDB4XMgY4fP55VZi8vL3z//l3mPGXB2dkZPB5PLlO5okzjvnz5kvG9YWJigk+fPgEA2rdvL9EscfPmzXHgwAH4+fkhJCQE4eHh2LVrF65evYquXbvKLJ8oRL0Ae/bsiW/fvjFOCYuv4Lx//15ses+ePWOc5e3btw/dunXD0KFD0aBBAwHLTKJYuXIlpk2bhrFjx2L27NnMC9vCwgKLFy9mHWjMnTtXQH4nJydcvHgRHh4e6NChA2u+xQeVXC4X5cqVQ9OmTSXeCwDw4MEDsb5dJK1aadEczMzMcOzYMXTr1g1A4TOxKHFxcWXCL4oW5VN0MmPfvn3o378/8/vo0aNyr6r+LBw6dAjVq1dHYGAg9PT0kJOTI2BpysjISKL5cy3qIzk5GTwej/nW2b9/PzZu3Ahvb2/MmDGjVFjs0w40xKCvry9yxtnV1VViw/bo0QONGzfGqFGj8P37d9SqVQvp6ekgImzfvp152YoiPz8f8+bNw/Hjx2U2q6uIOdC5c+di/PjxmD17tsyeo589ewYOh8M4U7py5Qq2bdsGb29vDB06lLnu1q1bYtOQhCjTuIps6VmzZg3z4Tpy5EhYW1vjwoUL6NixI4YNGya3nJJQZHuIiYkJ3r17BycnJ5w4cYIxx2xgYCBxkLhs2TKsXbsWnTt3Fhg41KpVC7/99ptMctSrV49Z5ZOEIv5X1q5di+HDh8PGxgb29vZCjhG1A43Sw/bt21m3u2VnZws8K7RoASDkWLboKhhQ6Gi2X79+JSlSqSQ1NRWHDh3CypUrkZ6ejoKCAtjZ2aF169aYMGGCWh0KamFn2LBhmDRpEqpVq4bHjx+jZ8+e6Nq1K/799198+/atVGw51TrsE0NUVBTS0tKwceNG5qM1OzsbgwYNgoeHB+sHlL29PY4fP47q1atj27ZtmD59OlJTU7Fp0yasWbMG169fFxu3WbNmYs9xOBycOnVK7HkjIyNcu3YNVapUEQi/ffs26tSpw+iNiIL/oCm+tYuk8BzdqFEjDB06FH379sXLly/h6emJqlWr4sGDBwgLC1PKB6Eox3mTJk2CmZkZfv/9d+zYsQN9+vSBi4sLs6Wn6Ae1OhAlsyL07t0baWlp8PPzwz///IOMjAxYW1vjwIED+P3331kHcoaGhkhLS4Ozs7OAXA8ePICvr6/Egcp///2Hc+fOiVxZKL5FrfhsNRtsA1hnZ2eMGDECEydOlDq9soTW4VXp5Wdvu9JYfk2RWVPkUJSyUg51Y25ujuTkZFSqVAl//vknTp06hePHj+P8+fP49ddf8ezZM3WLKBHtioYYrl+/jvj4eDg4ODB6C6mpqcyyY9HtNcX3xn/69InZV8ffLmBkZIR27dohIiKCNV9pFY1FUa9ePUyfPh2bN2+GgYEBAOD79++IjIyUOAOtSL63bt1CnTp1AAA7d+6Ej48Pzp8/jxMnTiA0NFRlM8/Ft/Q4OzvjwoULYrf03LhxAz4+PuByubhx4wZr2r6+vkqXl8+jR4+wceNGPHr0CEuWLIGtrS2OHj0KJycnIY/eRVmxYgWmTJmCZ8+eYffu3bC2tgYAXLt2DcHBwax5urq6IiUlRUgp/NixY0ID0+LExsZi2LBh0NPTg7W1tdDKQvGBhoWFhURdJGkGsB8+fED37t1Z09FSesjJycGFCxfQsGFD6Orq4vPnz5g+fTry8/MxdOhQ+Pj4qFtELRqItt8ojrYOSy9ExEzuxcXFoX379gAKDcu8fftWnaJJjXagIQYLCwuhLU6Ojo5SxXV0dMTFixdhZWWFY8eOYfv27QAKP5z4AwBVsHjxYrRu3VpocGRgYIDjx4+LjZebm4uoqCisWrUKHh4eMuebm5vLrPrExcWhY8eOAAr1PjIzM+UoiXwEBAQgICBAKLxdu3ZYt24datSogZcvX8LW1hY1atQAh8MRqUch6QNYWkR9bCcmJqJNmzZo0KABzpw5g9mzZ8PW1hapqalYv349du3aJTY9CwsLkdawIiMjxcaJiorCb7/9hnHjxmHkyJH48eMHiAhXrlzBP//8gzlz5mDdunWs5Zg6dSqmTZuGyZMnS7XErsigtSjdu3dnBqtaSje7du1Cz549UVBQAH19fSQmJqJJkybIzs4GUGhZZf369QgJCVGzpFo0CW2/URxp6nDjxo0Cui9aNIdatWph1qxZCAwMRGJiIrMF/smTJ7Czs1OzdNKh3TqlAmJiYjBmzBiYmJjA2dkZycnJ4HK5WLZsGfbs2SPxQ+zq1avYuXMnMjIykJOTI3BOkmWhb9++CZgDrVKlilTmQMuVK8esBshK3bp10axZM7Rr1w5BQUGMBadLly7hl19+wfPnz2VOsziKbEPix9XR0YGTkxM4HA6ePn3KGkcRc7DF8y0qc7169dC9e3eMGzdO4PyVK1fQtWtXobpSdBVGR0cHmZmZsLW1xdatWzFjxgw8evQIAFChQgVERkZi0KBBrOlaW1vjypUrqFSpkrRFVwpz5szBwoUL0a5dO5F6Q2xWxcoCZWnrgY2NDQwMDLBs2TJERUXhzp07sLW1xb1798DlcuHt7Y1Pnz7h3bt36hZVKZSltpMHZZW/JPuNprSZsuVQ172nKfVZ2rlx4wZ69+6NjIwMjBs3jtm2HxYWhnfv3mHbtm1qllAK1OC746fg6tWrtGfPHvry5QsTdujQIcZxjjj++ecf4vF41L59e9LT06P27dtT5cqVydzcXKIn5cTERMrNzRUKz83NpcTERNa4Y8eOpYkTJ7JeI46EhASysLAgLpdLISEhTPjkyZOV5lBGlLM/WeP6+fnR+/fviYgoMjJSLieBovj06RPt3btXyMN5RkYG45Gdj7GxMeM1vmiZnjx5ItJhmSTv3vzf4hwuFY3PJysrSyiMjYiICJozZ47U1xfnzJkz1Lt3b6pXrx49f/6ciIg2b95MZ8+eZY1X1Fll8UMW55WllbLk8IrD4dDBgweJiOjdu3cEgDZs2MCc37dvH3E4HHWJp3TKUtvJg7LKX5L9RlPaTNlyqOve05T6LKt8//6dcnJy1C2GVGi3TrGwa9cusSsLbI7kAKBmzZqoWbOmQBjfYRUfMzMzIT8L0dHRWLRoEUaOHAlTU1MsWbIErq6uGDZsGMqXL8+aZ7NmzZjZ66J8+vQJzZo1Y90OlJeXhw0bNiAuLg41a9YUmn1gs3bVtGlTvH37Fp8/f4alpSUTPnToUKWZrOSbxlWEu3fvIisrC5aWloiMjERoaKhc8klrVUzUVjsLCwtkZmbC1dVVIPz69esibZk/efIE5cqVY/6Xh+JbuIyMjGQq95w5c9C+fXscO3ZM5MqCJEtoffv2Re/evZGcnMws13/69AnR0dE4cuSI2LjylleLZsLfXsnfPlrUep+i97aWsou23yiOtg7LHqrchq901D3S0VSWLFlCJiYmNGrUKNLT06Nhw4ZRYGAgmZub0++//66UPETN0hsZGdGTJ0+IiMjKyopu3LhBRER37twhe3t71vQ4HA69fv1aKPzevXtkamrKGrdp06Zij2bNmslQKtnIyMigZ8+eMb8vX75MY8aModWrVystD349BwQEUGBgIM2YMYM4HA5FRERQZGSkyIMNOzs7SklJISKirVu3kru7O2VlZVFMTAzVqFGDNe748eOpYcOGlJmZSaampvTgwQM6d+4cubm50YwZM8TGy8nJoZCQEGY1RFo4HA5ZWFiQpaUl68HGzJkzicPhkJeXFzVp0kSmvlGjRg3atGkTEQn29+TkZLKzs5OqDNnZ2ZSWliZyta4sU5ZmBC0tLaly5cqUlJREzZo1Ix6PRx4eHsx5Hx8fMjMzU6OEyqUstZ08KKv8JdlvNKXNlC2Huu49TanP0g5/x4K4ozSgXdEQQ0xMDNasWYPg4GDExsZiwoQJcHNzw7Rp01idqimKpaUlvnz5AgCoWLEibt26hWrVquHjx4/49u2byDh8C1gcDgcDBgwQ8CGRn5+PGzduoH79+qz5KqLA6+rqympl6PHjx2LP9erVS8A0bsuWLVG1alVs3boVL1++VKrFqtjYWEyfPh2HDh0Ch8PB0aNHoasrfAtI8tGgiFWx6OhojBw5Eo6OjsjPz4e3tzfy8/PRq1cvTJkyRWw8Ho+H3bt3S3REKIrIyEiYm5vLHI/PggULsGHDBgwYMEDmuPfu3UPjxo2Fws3NzfHx40fWuN++fUNYWBg2bdoEALh//z7c3NwQFhaGihUrlkoPqT8rixYtQkhICGrXrg0Oh4O9e/eid+/e0NHRAQAUFBRg3rx5apZSi6ah7TeKo63D0s3evXsFfufm5uL69evYtGkTqyEYTUI70BBDRkYG83FuaGjIfPz37dsXAQEBIq3/KIPGjRvj5MmTqFatGrp3744xY8bg1KlTOHnypIA3z6LwPyKJCKampgKK33p6eggICMCQIUOkyv/hw4d49OgRGjduDENDQ8YMKRtjx44V+M2/EY4dOybxw7skTeN6enoyFsC4XC7i4+OFtplJgyJWxfT09LB27VpMmzYNN2/exNevX+Hn5yeVEn7nzp2xb98+AU+50vDrr7/KVU4++vr6jKd5WbG3t8fDhw+FnF+eO3dOomL/5MmTkZqaitOnT6N169ZMeGBgIGbMmKEdaJQi+vfvjzZt2uDEiRMIDAyEvb09nj9/jrFjxyIrKwsDBw5EmzZt1C2mFg1D228UR1uHpZtOnToJhf3yyy+oWrUqduzYIdGYi0ag7iUVTcXV1ZWSk5OJiKhmzZq0atUqIiI6fvy4xK0m0iJq69S7d+/oxYsXRESUn59Pc+bMoQ4dOtC4ceMYRWZxzJgxQ+4lyrdv31Lz5s2ZZTq+XCEhITRu3Di50ly+fLlEBXZjY2Nmq1iHDh1o7ty5RET09OlTMjAwkCvf4kRHR9OHDx+Y3zk5OTRgwACZtyHxWbFiBenq6pKFhQVVr16d8vPziYho6dKl1LRpU9a4p06dEnuO38fEMXPmTLKwsKBu3bpRdHQ0LVmyROAQBZfLlUnxWxTR0dEUFhYmd1xvb2+6dOkSmZqa0tmzZ+nvv/+mcuXK0dKlS1njOjk50cWLF4lI8F558OCBxK2AZQHt1oPSy8/edqWx/Jois6bIoShlpRyayqNHj8jY2FjdYkiF1rytGAYPHgxHR0dMnz4dK1asQEREBBo0aICrV6+ia9euWL9+vcJ5iFIGVwZv3rzBvXv3ABTO4vOVidno168fXr9+jXXr1qFKlSqM2dXjx49j3LhxuH37tsxyPH78GDVq1GD1FK2oadwHDx4gISFBpMdqttUQCwsLXL9+XUgpW1quXr2KZ8+eoWXLlowJv8OHD8PCwoJ19l9fXx+jR49GdHQ0o4T39u1bhISE4Ny5c/jw4YPYuGyycjgckVvUuFwu4ztEXrp06YJTp07B2toaVatWFVIeZDO5TESIjo7GnDlzmK1/+vr6+O233zBz5kzWfI2MjHDr1i24ubkJmAJOTU1F48aN8enTJ7nLVBr4mcxDvn79Gjt27EBYWJi6RVEKP1PbiaKkyq/MfqMpbVbScqjq3tOU+iyLfP/+HZMnT8bRo0eZbz2NRs0DHY0lPz9fQPn0n3/+obCwMFq6dCllZ2crJQ9RKxqfPn0SeXz+/FlivllZWRQSEkI6OjqM+VNdXV0aOHCgRFOuRRWci8qlyKj5zz//JGdnZ9ZrFDGNu2bNGtLR0SE7OzuqXr061ahRgzn8/PxY4/br148WLlwodVmUxfnz56lSpUpUvXp1un37Nh06dIjs7OyocePGlJ6eXuLySMOAAQNYD2nIzs6m27dv0+XLlwVMPrPRqFEjZtXDxMSEWYEaNWoUtWrVSr7ClCLev3/PzAjOnTtXac8dTWTHjh1Ull5HP1PbiaKkyq/MfqMpbfbp0ydGjiNHjgiZSFc2qrr3NKU+SzvFjblYWFiQjo4OmZqa0v79+9UtnlSUnSe7EsnNzaXIyEgBa0iq4OzZs/Tjxw+BMEkWBpycnGjatGnMdp2iDB06lNzc3OjIkSPMAOXw4cNUqVIlCg0NZZXFxMSE7t+/z/zPH2gkJSWRlZUVa1z+hz3/qFGjBtnb25OOjo5U1qPy8vKEtoU9efJE4pYfJycnZquVrMizDYlPSEgI6yGJL1++UO/evUlfX594PB7NnTuXCgoKpJa9tFphysjIoIyMDKmvP3v2LJmYmFBoaCgZGBjQmDFjqGXLlmRsbExXr15VoaTqJyIigrhcLvOiBkA6OjoUERGhbtFUQlkaaPxsbVeckiy/svqNprTZ7t27qUKFCgJyODg40O7du1WWpyruPU2pz7JAbGyswLF582Y6evSoxK30mkTZeLKrgKK6A7JSUFBAO3fupOHDh1O3bt2oS5cuAgcbmzZtIgcHB5oyZQodOHCADhw4QFOmTCFHR0davXo1zZo1iywsLGj27NlCca2trSkhIUEo/NSpU2RjY8Oab5s2bWjKlClE9L/Z4/z8fOrevTt169aNNe6MGTMEjqioKFq5ciXdvXuXNZ6imJqayu3ETxFncJ07dxY42rVrR87OzmRubi6Vg8Jr166Rp6cnVapUiQwNDSkkJESqPaxZWVk0cOBA0tHRIR0dHabso0aNUsihnirJzc2lKVOmkJmZGTNYNjMzoz/++EMqZ0MPHz6kwYMHU+3atalKlSrUu3dvxuRzWSUiIkLgBV38KI0v66JOJkUd/LKVdspi28mCsstfEv1GU9ps9+7dAmXiH/yyyjvYKOl7T1PqsyxQUpPeqkaroyGGTp06oWvXrujfv7/McceMGYPVq1ejWbNmsLOzE7LatHHjRrFxW7RogWHDhqFHjx4C4Tt37sTq1asRHx+PLVu2YPbs2UhLSxO4xsjICNeuXUOVKlUEwm/fvo06deogKytLbL63bt1CixYt4O/vj1OnTqFjx464ffs23r9/j/Pnz6NSpUrSFl8mFDGNO2jQINSuXRuhoaGqEE0mCgoKMHz4cFSqVAkTJkwQe93cuXMxffp0DB06FPPnz8fDhw/Rt29ffP78GX///Tfq1asnNu6YMWNw/vx5LF68GK1bt8aNGzfg5uaG/fv3Y8aMGbh+/boqigZAfueVw4cPx549exAVFcWU7eLFi5gxYwY6d+6MlStXqkxmeSgoKMDbt28BFN5PkiyuKZucnBzY2NgI6RsVhcvl4u3btwJOt0oCImL0bGxsbMDlcqWOy+FwULNmTfj5+Yk8/+jRIyQkJEDVryNVtq+62k6RdpEFSXUnb/nZ5Fe036hDZnnIz8+Hi4uLWJ1EDocDBwcHPHnyhDFLKy3i6pCI8OPHD6Snp+P8+fP4+vWr3PLzKcl7oKT6vboxNTXFzZs3hSw3lirUNcLRdFauXEn29vY0fvx42rZtG+3fv1/gYMPS0pIOHz4sV74GBgbMFqai3L9/nwwNDYmI6PHjx8z/RWnevDl1796dvn//zoR9+/aNunfvTi1atJCY98ePH2nWrFnUvXt3atOmDf3xxx/033//ibz206dPAv+zHWwsXrxY4Jg/fz716tWLrKysJM7SR0dHk42NDfXv35/++usvmbY/FaWgoECmrUviSEtLk+hU0d7eno4cOSIQlpOTQ7/99hvp6emxxlWXFSZFnFeamZkJlZeI6PDhwxKdRImzmPX27VuVOSp69eoV62yc9ig8ZLVkZmpqyrraV1Jbp8p6+ypqYU7ddVdcfkX7jTpkloeEhASp8hK1Y0ES4uqwLN0Lquz36qZjx44UGxurbjEUQutHQwwjRowAACxcuFDoHIfDQX5+vti45ubmcluScnR0xPr16zF37lyB8PXr18PR0REA8O7dO1haWgrF5c90Ozg4oHr16gCA1NRUGBgY4Pjx4xLzNjc3xx9//CGVnJaWlsjMzIStrS0sLCxEzgzS//vgYKurMWPGiAxfsWIFrl69yirDmjVrYGJigsTERCQmJgqc43A4GD16NGv8zZs3Y/78+Xjw4AEAoHLlyoiIiEDfvn1Z44nj0aNHyMvLY73m5s2bsLGxEQjj8XiYP38+2rdvzxr3zZs3Iq1HZWVlqXTmXRHnlfr6+iJnYlxdXSXOaJGYWcrs7OwSn83XohgBAQGsFtWcnZ3h7u5eghJpKQ38LP0mMzNTqdcVRVIdatFs2rRpg0mTJuHmzZuoWbOmkPWujh07qkky6dFunVIBmzZtwrFjx7BhwwYB53nScODAAXTv3h1eXl6oXbs2gEJTqmlpadi1axfat2+PlStX4sGDByIHQd++fcPWrVuZbVVVqlRB7969pZLjw4cPWL9+Pe7evQsA8Pb2RkhICOMFuyiJiYlo0KABdHV1hT7yi9OkSROJeRdHGtO4irBw4UJMnToVo0aNYszRnjt3DitWrMCsWbNYneKNGzdO4DcRITMzE4cPH0b//v1ZnTlu3LgRPXv2hJGRkcwyN27cGN27d0dYWBhMTU1x48YNuLq6IiwsDA8ePMCxY8dkTlMajIyMcPfuXTg7O8PW1hYnT55E9erV8eDBAwQEBODdu3di40ZFRSEtLQ0bN25kPNZnZ2dj0KBB8PDwwPTp04XiLF26FAAQHh6OmTNnMiYSgcItBmfOnEF6erpKtop9/foVpqamAIBXr16VuEnG5cuXS+WIcO7cuRg1alQJSPQ/srKyYGdnBwD48uWLQLuUFlTZvupqu5JqF0l1J2/5VSl/aZH59OnTaNasmcTrEhIS0LRpU4Xy4qOKe6Ek74Gy8DySBrYtYZImcjUF7UBDBXz//h1dunTB+fPn4eLiIuR3gG1POwCkp6dj9erVAr4whg0bxrpHLzc3F15eXjh06JCQjoY0nDlzBh06dIC5uTlq1aoFALh27Ro+fvyIgwcPonHjxjKnqQjz5s1DTEwM0tPTpbqe342lndl3dXVFZGQk+vXrJxC+adMmzJgxA0+ePBEbt/gLgcvloly5cmjevDkGDhwIXV3xC4V2dnb4/v07unfvjkGDBjHe56Xh3LlzaNOmDfr06YPY2FgMGzYMd+7cwYULF5CYmIiaNWtKnZYsuLm5Yffu3fDz80OtWrUwZMgQDBs2DCdOnMCvv/4qtKrRtWtXgd9xcXHQ19cXWGXLyclBixYtRPrg4PsLefr0KRwcHAT2JOvp6cHFxQVRUVGoW7eusouqdtvvOTk5MDIyYn156Ojo4Nu3byW+qqPuulEGqiyDutqupNpFUj7yll+V8pcWmfk6Gi9evBC5kquIjoY4VFHvJXkPlIXn0c+CdutUMb5//474+HhmG8vkyZORnZ3NnNfR0cHMmTNhYGAgNo3+/fvj2rVr6NOnj0hlcEm4uLhgzpw5MsXh8Xj48eOHTHGKMnLkSPTs2RMrV65kHmT5+fkYMWIERo4ciZs3b4qNe+zYMZiYmKBhw4YACrc9rV27Ft7e3lixYoXIbV58/Pz8BOqHiPDy5Uu8efMGMTExEuWWd/tTZmamyI/8+vXrS1yeTkhIkCiXOF68eIGDBw8iNjYWTZs2hZubG0JCQtC/f3/Y29uzxm3YsCFSUlIwd+5cVKtWDSdOnIC/vz8uXryIatWqyS2TJJo3b44DBw7Az88PISEhCA8Px65duxjnlcUxNzcX+N2tWzeB3/wtgOLgD/KaNWuGPXv2sPafsoaenh7GjRuH+fPni71m3LhxpW7r2PHjx/Hff/8hJCSECZs/fz6io6ORm5uL+vXr48SJE2qUUHHKattJiyrKr+p+oyltpqOjgyVLluCXX34Bh8MRGGzw34+LFy+Wa5Ahrg5nz56tuODF0JT61KJhqEk3RGNZuXIltW/fnvltYmJCdevWpaZNm1LTpk3J3t5eoqM3IyMjOnv2rEJyZGVl0d27dyk1NVXgYGP27NnUv39/ufwrGBgYUFpamlB4WloaGRgYsMb18fFhlN9v3LhBenp6NHnyZAoICJDo0E0R07gLFiwgIyMjmjBhAqOkHxERQUZGRhLbqGrVqiJNBM+cOZN8fHwk5q0MXr58SX/99RdVq1aNeDwedejQgfbt2yfSR4o6KQnnlefOnRPyKaMOvn79yigYSmNyWFVERESQjo6OgMKjuu3QK1I35cuXp0aNGjG/ExMTCQBZW1tT9erVCQB17txZ2SILURLtW9JtV1J9Vtp8ZC0/W7qK9ht1yKwIu3fvJgcHBwE5HB0dFfKjIa4OraysmDyKfvMog5K4BzTlWa0Kihu2YTtKA9qBRjEaNmxIBw4cYH4X9969ZcsWCggIYE3D09NT4qBAHK9fv6Z27dqJddjHRufOncnU1JTKly9PQUFBMvnvqF+/Pu3du1cofO/evVS3bl3WuEV9jkyfPp3xu3Ht2jWys7NjjasILi4utGnTJqHw2NhYcnFxYY27a9cu0tHRoVatWlFUVBRFRUVRq1atSFdXl/bs2cMa9+XLl9SnTx8qX7486ejoyNRGxbl06RINHTqU9PX1ycXFhczNzcnFxUWkdZHDhw/TsWPHhMKPHTsm0rJTaUKUT5S8vDxat24dBQcHU4sWLahZs2YChyrQpJdXdnY2LVq0iEaNGkWLFi1Su2ddReqmuPPOFi1aCExg9O/fX+KEhjIoqfYtybbTtIEGkWzlZ0tX0X6jDpkVJS8vjxISEmjbtm2UkJCgsGdwcXVYtAyquPdUfQ9o0rNa2RT37WVsbEwcDofxDs7hcMjY2Fiizy9NQbt1qhgPHz4U2IZiYGAgoIxTp04djBw5kjWNBQsWYMKECVi1apXMto/Hjh2Ljx8/4vLly2jatCn27t2LV69eYdasWViwYAFrXAsLC6FtKtIyevRojBkzBg8fPkRAQAAA4NKlS1ixYgXmzp2LGzduMNf6+voKxNXT02PsWcfFxTF6D1ZWViKVuT9//gwzMzPmfzb414lCke1P3bp1w+XLl7Fo0SLs27cPQKHi/JUrV8TabOczYMAAZGRkYOrUqShfvrzMW+NevXqFLVu2YOPGjXj8+DE6d+6MQ4cOITAwEFlZWYiKikL//v3x9OlTgXiTJk0SskYGFG43mzRpEtq0aSOTHGwUbW9JFO8P8kAi9iWPGTMGsbGxaNeuHXx8fErcp4W60dPTw9ixY9UthlLIz89ndHSAQj01vi4YAPTr1w+bNm1Sh2gqoSy1nTwoq/wl2W80pc10dHSUpvANSK5DAAptuxaHptRnaaSojui2bdsQExOD9evXw9PTEwBw7949RleyVKDukY6mIW4LEZ+7d++Svr4+axoWFhakp6dHXC6XTExMmFEo/2DD3t6eLl++TESFs7z37t0jIqL9+/dTgwYNZCyN9EjyHsrlcpm/xenQoQOzMsDj8ej58+dERHT8+HHy8PAQur6ofwR+msUPcXkVRV3bn0xMTOj69etyxW3fvj3xeDyqWrUqLVq0iN69eyd0zatXr4jD4QiFGxgYiPRW/+TJEzIyMpJLHnEUb3O2QxkUXzkkKvR0L68/Gnkpy7NkiqJI3XC5XNqwYQMRFXq7BUDTp09nzh88eJBK4nVUFttXE1c0lJWuov1GHTJrGuLqsGgZSuOnYGlqA0Vwc3Oj5ORkofCrV69K3LmhKWhXNIrh4OCAW7duMSPH4ty4cQMODg6saSxevFju/LOyshhfCZaWlnjz5g0qV66MatWqibVWVVBQgPnz5+PAgQOMNZ/p06fLZFqXzcqSJJYvX44RI0Zg165dWLlyJSpWrAgAOHr0KFq3bi10/alTpxiTuYooVkdGRqJnz544c+YMY6L2/PnziI+Px86dO4Wul8VULttKiqOjo9wejG1tbZGYmMjqAbxcuXIi28Pc3ByPHz8WWiV7+PCh0i1uFM3/+vXr+O233xARESHg3XvBggWYN2+eUvMtip6eXpmwka+l8J6ZNGkSvL29ER0dDeB/voqAQnPZbAY2tPycaPuN4kiqQwDaOtRgMjMzRfrnys/Px6tXr9QgkRyoe6SjaYwePZq8vb0FvGvz+fbtG3l7e9Po0aNVln+tWrWYffgdOnSgvn370vPnz2nChAnk5uYmMk5UVBRxuVwKCgqiTp06kYGBAYWEhMiUb2mdEbh69Sr17t2b/P39yd/fn3r37i1y9E8kfvVE1ln648ePU1BQkMjVBVUydOhQqlatGj18+JAJe/DgAfn6+tKgQYNUlm/t2rVFriwcPnyY/P39lZKHqBWNv/76i0aMGKEUr+3S8rPMksmDInVz9uxZ4vF4TPxff/1V4Ly9vT35+fkpU1yRlMX2LcsrGor2G+2Khvg6LFqG6tWrq1dIOShNbaAI7du3Jz8/P7p27RoTdvXqVfL396cOHTqoUTLp0frRKMarV69Qo0YN6OnpYdSoUahcuTKAwj1xy5cvR15eHq5fv844ihFFRkYGax5OTk5iz/3999/Iy8vDgAEDcO3aNbRu3Rrv37+Hnp4eYmNj0bNnT6E4Hh4e+O2335j9enFxcWjXrh2+f//O6uylKCYmJujRowcGDhzImKmVluTkZPB4PEa3Zf/+/di4cSO8vb0xY8YMVlN2ipjGlZWijgXT09MxadIkDBgwQGCWftOmTZgzZw769+8vNh1LS0t8+/YNeXl5MDIyEvKTUtyvBN8BnTSweTP/9OkTWrdujatXrzKras+fP0ejRo2wZ88eWFhYSJ2PLBgaGiI5OVnIP8vdu3fh7++P79+/K5yHmZkZUlJS4ObmxoR16dIFCQkJsLKyQtWqVYXqWZQPDkXRVNvsBQUFUt/LqkLRuvnx4wcOHDgAd3d3+Pv7C5zbuXMn/Pz84OHhoTR5RaGp7asImuJHQxRnzpxBnTp1WGfMJaWrSL+RR+YfP35InOEvbf1IVB0WLUNKSoqAHkdpoLS1gby8efMG/fv3x7Fjx5h3YF5eHlq1aoXY2FhmB4wmox1oiODJkycYPnw4Tp48KeAIrmXLloiJiRH4GBIFl8tlVVyVxZPjt2/fkJaWBicnJ9jY2Ii8Rl9fHw8fPhTwT2BgYICHDx9K3ObFZ9++fYiNjcWRI0fg4uKCgQMHol+/fqhQoYLEuLVr18akSZPQrVs3PH78GFWrVkWXLl2QlJSEdu3asW4lq1atGv7880+0bdsWN2/eRK1atTB+/HgkJCTAy8sLGzduZM27oKAADx8+xOvXr1FQUCBwjs3JYIsWLTB48GAEBwcLhG/btg1r1qzB6dOnxcaVpHxYfJDCd0AnCQ6Hg8ePH7NeQ0Q4efIkUlNTYWhoCF9fX5U7U/T394ePjw/WrVvHDBpzcnIwePBg3Lp1S6IDSmkwNTVFamqqwL1V1O67KCT1DXlQ58vr8+fPaN68OR48eID69evj6NGjCAwMRHx8PADA2dkZ586dk/qeVjbKrJt79+7B2Ni4xMtSUu2bnJyM8PBwPH36FDY2NoiKikLbtm1VkpcmDzQ4HA4OHjzI+KVSNF1Z+w1b2rNmzUKVKlXQrVs35sPt9OnTzKC+ZcuWOHLkiMgBvqrqPCcnR+S7jG1yUlb4dWhpaanUMuzcuRNr1qyBjY0NIiMjBbafP3/+HM2bN8f9+/cVyqMoP8tAg8/9+/eRlpYGAPDy8mImwUsF6lxO0XTevXtHly9fpsuXL4tU2hVHSkqKwJGUlERr1qwhLy8vhexhF6WoOVAul0uvX78WOG9iYkKPHz+WOd3Xr1/TggULqFq1aqSrq0vt2rWj3bt3s/rmMDMzY7bzzJ07l4KCgoio0DeCg4MDa36KmMa9ePEiubq6MkrLxZXX2TA0NKT79+8Lhd+7d48MDQ1Z42o6Pj4+lJGRobT0Ll++TLa2tlSuXDlq0aIFtWjRgsqVK0e2traM4QJxfPv2jbKyspjf6enptGjRIjp+/LjS5FMm6lyO9/f3Jy6XSzVr1iQ9PT3y8fEhHR0dGj58OI0aNYp4PB75+vqWqExFUbRu0tPTycfHhzgcDpMOl8ulgIAAevPmjQokFkZV7QuA7ty5Q0SFhjsAEI/HIwcHB9LT0yMA9O+//yotv6Jowtap8uXLizzw//4a+L/lkV+RfsOWtp6eHi1btoyIiIKCgojD4VCnTp1o5syZ1KVLF+JyudS6dWu5ZJaV+/fvU8OGDeUyiiIN4upQWWWIjo4mAKSvr086OjrE4XBowYIFzPmbN28qXeH8Z9k6VRbQKoOzYGVlhTp16sgcT9QSZK1atVChQgXMnz9fpDdlWaEiC1FEhAEDBkBfX58J+/HjB0JDQwVG+dJsNSlXrhzGjRuHcePGYdmyZYiIiMCRI0dgY2OD0NBQTJo0CUZGRkKy8Gdg4uLimNkrR0dHvH37ljU/WU3jFiU0NBS1atXC4cOHZTYz6+joiLVr1wopM69bt06k52plmeQtChVZLVMm6enpyM3NVVp6derUwePHj7F161ZmRqVnz57o1auXxFmkTp06oWvXrggNDcXHjx9Rt25d8Hg8vH37FgsXLsTw4cOVJmdpJzU1FXPmzMGECRNw+vRpNGvWDJMnT2YUOCtWrIgpU6aoWUr5ePToEapUqYLc3Fx4eXnBy8sLAJCWloZLly7B2dkZL168wN69e3Ho0CHs3r1bzRLLDv8ZOGzYMNjZ2SE9PR0GBgbIy8tDpUqVMHLkSPzyyy9qllI1ZGZmwtzcHOXKlRM6p6+vL/dssyr7TU5ODmrWrAmgcFvt2LFjsXDhQub8jBkzmHtP1QwYMAC6uro4dOiQXCbT2RBXh3fu3GFWGD5+/IidO3fKfe9FR0ejfv36OH/+PAoKCtC+fXuMHz8e3759K7XPLE0hPz8fsbGxiI+PF7naderUKTVJJj3agUYJ4unpiaSkJKWnK0qfoE+fPnKl9erVK2zatAmxsbF4+vQpfvnlFwwaNAjPnz/Hn3/+iUuXLuHEiRMCcWrVqoVZs2YhMDAQiYmJWLlyJYDCLWhsuiwA0LBhQ4wbNw4NGjTAlStXsGPHDgCFy4SSlscfPHiAXbt2yWWZaNGiRejWrRuOHj2KunXrAgCuXLmCBw8eiHzQWlpaIjMzE7a2trCwsBD5IiAicDgciVvjNm/ejPnz5+PBgwcAgMqVKyMiIgJ9+/aVuRwlQVZWFoyNjTF06FCZ4yYnJ2PRokUAgF27dsHOzg7Xr1/H7t27MW3aNIkDjV27dmHnzp3IyMhATk6OUNplifz8fDRq1AgAGDv6/L4JFN4rsmy71CR++eUXcLlc3Lx5Ez4+PgLnbty4gbp168LHxwcvXrzA4MGD1SSlcnjz5g0WL17M7PPX1dXF3Llz5X4mlwbCwsIQExODrl27YsOGDUw4h8PBqlWr0LFjR7nSVWW/4XK5uH37NurVq4fc3FzUrl1b4HyDBg2UOmHDRkpKCq5du8YMApSJuDosuvWoTp06+O+//+S+975+/YqZM2cCKKzXI0eOYOTIkZg6dSpycnLQo0cPxQvyk1Im/EmpdT2ljPLp0yeB4+PHj3T37l3q2bOn0qw7iLLSowi7d+9mfDxUr16dli1bRh8+fBC45uHDh8Tj8YTipqamko+PD5mZmdGMGTOY8FGjRlFwcDBrvk+fPqV27dqRr68vrVu3jgkfO3YshYWFscZt1qwZHT16VIrSiebZs2c0efJkxnP677//LnbL0enTp5ntY6dPn2Y92FiwYAEZGRnRhAkTaP/+/bR//36KiIggIyMjWrhwodxlKYqy+4axsTGFhITQ2bNnZY5raGhIT58+JSKi7t27M/0jIyND4ha1JUuWkImJCY0aNYr09PRo2LBhFBgYSObm5vT777/LXhApUOdyvJ6eHmPRLjY2lgAIWI8bPXq0yPuvpFDUM/isWbPEnp85cyYBoKZNmyoqJislsXVKR0dHaJtUYmKiynwVaMLWKaJC60ampqZUoUIFZtsuANq/f7/c6Srab9jS9vHxIVtbW8rOziYvLy/y9PSk/Px85ryvry+ZmJjInK481KpVS67nqzSIq8PifjQUufc4HA5t2bJFKDwsLIwAUHBwsHbrlJyow5+UstEONFSAKDOqHA6HnJyc6MKFC0rJQ9kfk2ZmZjR06FC6cuWK2Gu+ffsmMJCQxPfv3yknJ0cZ4jGkpqYyx549e8jb25s2btxIV69eFTiXmpqq1HyVhYuLC23atEkoPDY2VmnOd5TdN/bu3UudOnUiHo9HHh4eNGfOHHrx4oVUcatVq0ZLliyhjIwMMjMzY/r/1atXJergeHp60rZt24hIsExTp06lkSNHKlAi8ajz5dW5c2dmTzuHw6Fu3boRl8ulOnXqUEBAAAGg5s2bl6hMRVGkbgCwPluuXLlSIk7DVDnQ4OuHAaDQ0FCB83PmzCFdXV2l5VcUTRloEBU6hGvcuDHzcavoQEPRfsOW9tOnT8nIyIh4PB65ubkRANLR0SErKyvS1dUlAAKTX9KmKw/x8fFUr149SkhIoLdv3wpNViqCuDpUpsM+Kysrateunchzo0aNUkoexflZBhrly5dnHDeXVrRbp1RAcSd0XC4X5cqVg7u7O3R1lVPlyl4+y8zMFNK9KI6hoSGmT58udZrSOAGS1TRujRo1wOFwBHRUBg4cyPzPPyfNFqaPHz/iypUrIvc98nVFRLFx40aYmJige/fuAuH//vsvvn37xmoaNzMzE/Xr1xcKr1+/PjIzM1nlVRedO3dG586d8ebNG2zZsgWxsbGYOnUqWrVqhYEDB6Jjx45i+/W0adPQq1cvhIeHo0WLFowp4RMnTsDPz48134yMDKauDA0N8eXLFwBA3759ERAQgOXLlyuxlOpn7969GDlyJM6ePYtevXph2bJlWLx4MaZPn468vDw0bdoUx48fV7eYcsHlcpGUlCS0PYXP5cuX1W6+VxGKbznh7/3nc/LkSfj6+pakSGpBV1cXiYmJiImJwZgxYxROT5X9xsnJCW/evMHgwYMRFxcHPT09EBHy8/NRp04dLF68WGy+yiYwMBBAoTXEokj7LmNDUh3yr1GEwYMH4+TJkyLPLVu2DAUFBdi2bZtCefysjB8/HkuWLMHy5ctL57YpaM3bllpEmQOVB2m9ZbMpOOfn52PRokVi99IX9ytRFFlN4z59+lQqeYFCc6DiOHjwIHr37o2vX7/CzMxM4AbmcDisMleuXBmrV69Gs2bNBMITExMxdOhQ3Lt3T2xcHx8f9OrVC7///rtA+KxZs7Bjxw7cvHlTUrEkoqy+wQbfUEBOTg6roQAAePnyJTIzM1G9enXmhXblyhWYmZmx7kl2c3PD7t274efnh1q1amHIkCEYNmwYTpw4gV9//ZW1jeTlZzOZKAuK1E3lypXx+vVrPH/+nEmDz+fPn+Hk5ARbW1ulmr8URVlsX001b/vy5UucOXMGrVu3Zn1/sKWraL9RVd0oO92iPp5E0aRJE7nTFleHRctQqVIlPHz4UO481EFZvJdFoQ5/UspGu6KhJA4cOIA2bdqAx+PhwIEDrNfKqxhXlKNHj6JixYoKpyNOsZmPNDMqkZGRWLduHcaPH48pU6bgjz/+QHp6Ovbt24dp06ax5n///n3UqFEDQOGKQOPGjbFt2zacP38ev/76q9BAg23wIAvjx4/HwIEDER0dLXElpzgZGRkifWM4OztLdNYYGRmJnj174syZM2jQoAEA4Pz584iPj8fOnTtlkkMcq1evlqiELw/yGAoAAHt7e9jb2wuESWPNrXnz5jhw4AD8/PwQEhKC8PBw7Nq1C1evXlWK5bbSQkFBAfLy8lgdX2o6W7duRUBAACwsLBAUFAQ/Pz8QEZKTkxEXF4eCggIcPXpU3WIqncGDB2PatGlK9YNQWrC3t1dYCfhn6TeKDCQkIa4OixqmWbNmjdLzPXnyJFJSUuDv7y+0UqNFeiwsLNClSxd1i6EY6tqzVdbgcDj06tUr5n9xhySb2AUFBbRz504aPnw4devWjVFU5h/KpqgSc0JCAhkaGtLWrVtlUnB2c3OjQ4cOEVHhXnq+T40lS5ZIVAY3NTVl/FkEBgbS4sWLiahw/6yBgQFr3OjoaFq/fr1Q+Pr162nu3LmscY2MjOTWY3B0dBS573jfvn1UsWJFifGvXr1KvXv3Jn9/f/L396fevXtTcnKyVHl//fqVDh8+TCtXrqQlS5YIHKpCEUMBTZs2pWbNmok92MjPzxfw3/LPP/9QWFgYLV26lLKzs5VStuKoc9/v9+/fqUGDBmRubk6NGzcmIqK2bdsy8ri5udGXL19KVKaiKFo3iYmJZGNjI7AvHABZW1tTXFycCiQWpqTbFwAdPHhQpXlogo7Ghg0bBO7JqVOnkrm5OXG5XDIyMqIhQ4bILb8i/UZdMsvDhw8f6K+//qJBgwbRoEGDaOHChfTx40elpC2uDpVVhqCgIJo3bx4RET1+/JgsLS0F0rexsaH09HRlFIXhZ9HRKAtoBxoaxujRo0lfX59at25N/fv3pwEDBggcqkYeRWIjIyPGspC9vT1du3aNiIgePXpEZmZmrHGbNWtG/fr1o82bNxOPx6MHDx4QUeEAyNnZmTWus7MznT9/Xij80qVLEhWru3TpQjt27GC9RhwTJkwgZ2dnOnXqFOXl5VFeXh7Fx8eTs7MzjR8/Xq40pSE5OZns7e3JzMyMdHR0qFy5csThcMjY2JhcXV1Vlq8ihgLGjh0rcIwcOZL5mOZbWFKU4cOHK83hmzpfXnyHXTVr1iR9fX3y9vZmHPYNGTKEuFwutWnTpkRlKoqy6ubx48e0YcMG2rBhAzMpUVKoqn3FTSzx8+L/VgWaMNAAQLdu3SIioilTpjAD4549e5KnpycBoAkTJigkvzz9Rt0yS0tSUhJZWVlRxYoVmUlFBwcHsra2Zt6nyqBoHd64cUNpZdDR0WEMd3h6epKhoSFt27aNPnz4QDt27CATExOqXLmyMorAoB1olB60Aw0Nw9LSUq2mzOQZaFSuXJkuXbpEREQNGjSgOXPmEBHR9u3bqVy5cqxxFTGNq6+vL9L7+aNHj0hfX18onG9Odv/+/bRu3TpycnKi6dOn065duwTOSbKSkp2dTT169CAOh0M8Ho94PB7p6OhQSEiIVDPteXl59O+//1JUVBRFRUXRrl27WD2v82nSpAkNGTKE8vPzmXbKyMigxo0bK83jvCiKevZWFtOnT1faoMzU1FRpVrbU+fLS1dWlqVOnEhFRXFwcARAYjI0dO1Zkvy4pysKLXZVWp2xtbWnw4MHMMWjQIAJALVu2ZMJUgaYNNMzMzCggIEDgfMuWLUvMVGxplLlhw4Y0YMAAgfdAbm4u9e/fnxo1aqRw+qJQZhkA0Llz54io8Dm2dOlSgfNbtmxRiofzopSF55G0/Pvvv9S9e3eqW7cu+fn5CRylAe1AQ0XExcXR5MmTadCgQRQSEiJwsOHi4kJ3794tISmFkWegMXHiRJo9ezYRFQ4udHV1yd3dnfT09GjixIlyySGNaVx3d3eRtrs3b94scoafbUubLNvb+Ny7d4927txJBw8elHpZ+NatW+Tm5kZGRkbMg8LY2JhcXFzo5s2brHHNzc0pLS2N+Z9vt//SpUvk6ekpVf7SUty8ItshDw8ePCBLS0ulyKpMc77qfHkBYAbs/N9FJx1U6YtBGsrCi11VZYiLiyNjY2Nyc3OjzMxMJhxSmHdVFE0baIjyqXDkyBGxKzqaMNBQt8wGBgYi3/u3b9+W6G9IXpRZBh6PR9OnTyeiwoHGqlWrBM5v375d6c+usvA8kgZ1+JNSNlplcBUQGRmJqKgo1KpVC+XLl5fJJNmMGTMQGRmJDRs2wNDQUIVSikdWE2pz585l/u/ZsyecnJxw8eJFeHh4oEOHDnLJII1p3CFDhmDs2LHIzc1F8+bNAQDx8fGYMGECxo8fL3R9cRO2ilK5cmVUrlxZpjiDBw9G1apVcfXqVVhaWgIAPnz4gAEDBmDo0KG4cOGC2Lg8Ho+x2mRra4uMjAxUqVIF5ubmePbsmfwFEYEkIwGAYqYXL168KFUb/0xwuVw8f/6c8QZuamoKW1tb5vzXr1/VJZoWCbRo0QJv375FkyZN4OjoiKVLl0r0el/WOHnyJO7evQsulyvymUAaaOBSU2Q2MzNDRkaGkBW+Z8+ewdTUtERkUISgoCDMmTMHjRo1Qtu2bfHbb7/Bw8MDzZs3x5kzZxAaGqoU4zU/IzExMVizZg2Cg4MRGxuLCRMmwM3NDdOmTVOJ5UVVoB1oqIBVq1YhNjYWffv2lTlujx498M8//8DW1hYuLi5CpsySk5OVJSYACFnv+fHjB0JDQ4VMxcliQq1evXqMvwRJKGIaNyIiAu/evcOIESOYeAYGBpg4cSImT54stbw/fvyQ+NE7btw4zJw5E8bGxhg3bhzrtQsXLhR7LiUlRWCQAQCWlpaYPXu2RJvtfn5+SEpKgoeHB5o0aYJp06bh7du32LJlC3x8fFjjykpxXzDyUrx/EREyMzNx9epVTJ06VSl5lBXMzMxw7NgxdOvWDYCw6em4uDiZLaRpKTkMDAxw+fJlLFiwAGFhYdiyZYu6RSpRwsPDmf/37dsn4E/o6NGj0NfXV4dYrGiKzD179sSgQYPw119/Mb6Dzp8/j4iICAQHB5eIDIpw6NAhVK9eHYGBgdDT00NOTo6ApSkjIyOJJny1iKYs+JPSDjRUQE5OjkinbNLQv39/XLt2DX369IGdnZ3KHbSYm5sL/O7Tp49c6Tx48AAJCQkind+xmbiV1zRufn4+zp8/j0mTJmHq1Km4e/cuDA0N4eHhIdXLIT8/H9HR0Vi1ahVevXqF+/fvw83NDVOnToWLiwsGDRokcP3169eRm5sLoHCwJ65dJLVX5cqV8erVK1StWlUg/PXr13B3d2eNGx0dzTxkZs+ejX79+mH48OHw8PDAhg0bWOPKirLMLRb3UcLlcuHp6YmoqCgEBQUpJY+ywvbt21lXMbOzszF06NASlEiLPIwfPx4dO3ZEkyZNwOFwhCaLyiLnzp0T+F10JQ4onMxhc4KqDjRJ5r/++gscDgf9+vVDXl4egMIV7OHDhwvsGNBkUlNTcejQIaxcuRLp6ekoKCiAnZ0dWrdujQkTJpRqh5zqxN7eHu/fv4ezszOcnJxw6dIlVK9eHU+ePNHIVUKRqHXjVhllwoQJFBUVJVdcIyMjOnv2rJIlUi1r1qwhHR0dsrOzo+rVq1ONGjWYQ5KykiKmccUpg0tDZGQkubm50d9//02GhobMHv/t27cLKQUqk8OHD1PVqlXp33//pWfPntGzZ8/o33//pWrVqtHhw4cV1n1QFao0vagoZUVHQ9MpC3VTFspQHE3Q0dDEdFWZtqrSzcrKohs3btCNGzdUYoSjKKX9Xijt8kvLoEGDGEM5y5cvJ0NDQwoMDCQLCwsaOHCgmqWTDu2KhpIoup2moKAAa9asQVxcHHx9fYVmtNi21jg6OrJ6UdVEZs2ahdmzZ2PixIkyx3358iWqVasGADAxMcGnT58AAO3bt5e4tcbHxwePHz8W6TxPEps3b8aaNWvQokULhIaGMuHVq1dHWlqa2Hi5ubkwNDRESkqKXNuV2rdvD6Bwixx/pp/+f1aCr89CCug+qIKrV6+iVatWMDQ0ZBztLVy4ELNnz8aJEyfg7+8vNq6bmxuSkpJgbW0tEP7x40f4+/vj8ePHCsvXp0+fUnfPiCMnJwcXLlxAw4YNoauri8+fP2P69OnIz8/H0KFDlb5FTovy+NnbrjSWX9NkNjIyYt6HpQ1Nq8uywpo1a5hdIiNHjoS1tTUuXLiAjh07YtiwYWqWTjq0Aw0lcf36dYHffG/Xt27dEgiXtLVmwYIFmDBhAlatWgUXFxdliqgyPnz4gO7du8sV18HBAZmZmXByckKlSpWYD9ekpCSJW6BmzZqF3377DTNnzkTNmjWF9ErYPj5fvHghcqtSQUEBs0VKFDweD05OTnIPAmTVffD390d8fDwsLS3h5+fH2n+Urb/DJzw8HB07dsTatWuhq1v4yMjLy8PgwYMxduxYnDlzRmzc9PR0kXWVnZ2NFy9esOZ77NgxmJiYoGHDhgCAFStWYO3atfD29saKFSsYPZeVK1fKWzSNYteuXejZsycKCgqgr6+PxMRENGnSBNnZ2QCA5cuXY/369QgJCVGzpFqKI03bbdy4UUAHoCxRGvuuJsncpUsXkc92DocDAwMDuLu7o1evXvD09FS5LPLws/d/VcLlcgW2nf3666/49ddf1SiRHKh7SUWLIBYWFqSnp0dcLpdMTEzI0tJS4NBEBg4cSCtXrpQrriKmcYubpOUf0pio9ff3Z8wZFt16ExkZSQ0bNmSNu27dOmrbti29e/dO2mLKDN8J3YwZM5gl9BkzZrAeqkIe04t8fyQcDoc2b94s4KNkz549NHLkSIkOnHx8fBjzrjdu3CB9fX2aPHkyBQQEqMx5pTqX462tralixYq0Z88eqlGjBunp6ZGDgwNlZWXR9+/fydXVlaysrEpUpqKUha0KqiqDOttOE7ZOKVJ+dW2d0iSZ+/fvT+bm5uTs7Exdu3alrl27kouLC1lYWFCPHj3I09OT9PX1GV8VykCZZVBH/y8LzyNpOXPmDPXu3ZsCAgLo+fPnRFRoxr+0bLPXrmioGL7ZUUdHR6muX7x4sQqlUQ3u7u6YOnUqLl26hGrVqgltFRs9erTYuIqYxlXEMtK0adPQv39/vHjxAgUFBdizZw/u3buHzZs349ChQ6xxly9fjocPH6JChQpwdnYWWklRxsrC33//jd9++w3Tp08HUKi83qxZM/j6+sLCwkLh9GVBHtOLnTt3Zv4vPovF4/Hg4uKCBQsWsOb75MkTeHt7AwB2796N9u3bIzo6GsnJyWjbtq0cJdFs3r9/jwMHDqB9+/Zo0qQJrK2tERUVxViaWrRoEbp06aJmKbWI4mdvu9JYfk2S2d7eHr169cLy5cuZ2euCggKMGTMGpqam2L59O0JDQzFx4kQhJXZNQJPqsqyxe/du9O3bF71798b169eZVaJPnz4hOjoaR44cUbOEktEONFRAXl4eIiMjsXTpUsb2vYmJCcLCwjB9+nRWKySlcWlxzZo1MDExQWJiopAJOw6HwzrQKI4spnHZLCMV37JWnE6dOuHgwYOIioqCsbExpk2bBn9/fxw8eBAtW7ZkjVv0I1pVUDFrEjo6OggKCsLdu3dLfKAhj+lF/p5SV1dXJCUlwcbGRuZ89fT08O3bNwCFpl35FmCsrKyETL+WFfjbBfnmlvX09JhzP4P1otLMz952pbH8miLz+vXrcf78eYEtMlwuF2FhYahfvz6io6MxatQoNGrUqMRkkhVNqcuyxqxZs7Bq1Sr069cP27dvZ8IbNGiAWbNmqVEyGVD3kkpZJDQ0lGxtbWnVqlWUmppKqamptGrVKrK3t6fQ0FDWuE+fPmU9NI2CggJKT0+nb9++yZ3G/fv3afXq1TRz5kyKjIwUOGTh8+fPtHr1aqpdu7bU3r01FVGWlGrWrElxcXElLkt2djaNHj2a2dLH5XJJX1+fxo4dSz9+/GCNu2nTJpHXZGdn06ZNm1jjdujQgVq1akVRUVHE4/GYJePjx4+Th4eH/AViQZ3L8ZaWllS5cmVKSkqiZs2aEY/HEyinj48PmZmZlahMRSkLWxVUVQZ1tp0mbJ1SpPzq2jqlSTJbWFiI9CC/f/9+srCwIKLC9yT/f2WgzDKoo/+XheeRNBgaGtKTJ0+ISPC74NGjR6Svr69GyaRHO9BQAWZmZnTkyBGh8MOHD0u82YrrGxQ/NI38/Hzi8Xh0//59ueIrYhqXT2JiIvXr14+MjY3Jw8ODJk6cSFeuXJFLHmn58OEDrV27liZNmsToaly7do35GFYUUQONo0ePUo0aNejgwYP033//CZjCLQlzuPKYXuRyufTq1Suh8Ldv30rsz0+fPqV27dqRr68vrVu3jgkfO3YshYWFySa8lKjz5RUbG0scDocAEIfDoX379pGxsTFz7wOgefPmlahMRSkLL3ZVlUGdbacJAw1Fyq+ugYYmyRwWFkY2Nja0cOFCOnv2LJ09e5YWLlxINjY2NHr0aCIioKgM7wABAABJREFUWrt2LTVo0EDhvPgoswzq6P9l4XkkDa6urnTy5EkiEvwu2LRpE1WpUkWdokmNdqChAsqVK0d37twRCr9z5w7Z2Niwxk1JSRE4kpKSaM2aNeTl5UW7d+9WlcgK4e3tTRcvXpQrrpOTE82dO1fmeJmZmTRnzhxyd3cnW1tbGjVqFOnq6tLt27eliq/IgC41NZXKlStH7u7upKury9z4f/zxB/Xt21fmsohC1EBDEeV3ZZGRkUEZGRlSX8/hcOj169dC4SkpKRpp3EDdL69Xr17Rli1bKDMzk4gKB7T9+/enX375ReTkRUmi7rpRBqosg7raThMGGkTyl1+dfjQ0Rea8vDyaNWsW2dvbM894e3t7mj17NuXl5RFR4cTLs2fPFM6Lj7LLUNL9vyw8j6QhOjqavL296dKlS2Rqakpnz56lv//+m8qVK0dLly5Vt3hSwSEqLa4FSw9RUVFIS0vDxo0bmX2L2dnZGDRoEDw8PBgFX1k4fPgw5s+fj9OnTytZWsU5ePAg5s2bh5UrV8psK9vMzAwpKSlwc3OTOk6HDh1w5swZtGvXDr1790br1q2ho6MDHo+H1NRURoGYjf379wv8zs3NxfXr17Fp0yZERkYKeQYvSmBgIPz9/TFv3jyYmpoiNTUVbm5uuHDhAnr16oX09HSpyyKOounyKa7/UhxlefMujjw6R3xTvKmpqahatSpjFhcoVGx/8uQJWrdujZ07d4rNNyMjg1UuJycnOUsknqysLJiYmAAAvn79KqTo/zNTFuqmLJShOCVVJlXlo0r5S6PMfP0zVfsGKu33QmmXX1qICNHR0ZgzZw6js6ivr8+Y9i8NaJXBVcD169cRHx8PBwcHVK9eHQCQmpqKnJwctGjRAl27dmWu3bNnj1Rpenp6IikpSSXyKkq/fv3w7ds3VK9eHXp6ejA0NBQ4//79e7Fxu3fvjhMnTgg4zZPE0aNHMXr0aAwfPhweHh5yydypUyehsF9++QVVq1bFjh07WAcaSUlJWL16tVB4xYoV8fLlS7nkKY4oJ3Surq5wdHQUsrdORIx1M1UQFhaGPXv2YN68eYyi/sWLFzFjxgy8e/dOpB8LvsJ8SkoKWrVqxbwQgEIlQRcXF3Tr1o01XxcXF1a/IZri0LCkeP36NXbs2IGwsDB1i6JFRn72tiuN5VeXzGXF+WhRSmP7awocDgd//PEHIiIi8PDhQ3z9+hXe3t4C71RNRzvQUAEWFhZCH1HSmrctbk2HiJCZmYkZM2bI/VGtahQxySuPadxz585h/fr1qFmzJqpUqYK+ffsqzYFNQEAAhg4dynqNvr6+SKtH9+/fR7ly5aTK59u3b8jIyEBOTo5AuK+vLwDRTuhcXV2RmZkJW1tbgfD379/D1dVVZR/e27Ztw/bt29GmTRsBOR0dHREcHCxSVv6qnYuLC3r27MlYIpGF4k4w+atOfK/kqqBoeyxfvhzh4eEC1lPUyenTpzF69Gi1vaw1uW6kRV1lUGXblVSZij5fzpw5g6CgIOjo6EgVl638qpRfk2VWtzPWkrwXVNH/y8LzSBb09PSk2q2hkah145YWIUTpDnA4HHJycqILFy6oWzyl4+LiIvZwdXVljfv161dav349NWjQgHg8HnG5XFq8eDF9/vxZLlm+fftGY8aMkehIbtCgQdS5c2fKyckhExMTevz4MT19+pT8/PxozJgxrHFfv35N7dq1k0s3RJy+Q3p6OhkZGUksn7woonOkCg4dOkRNmjRReroRERGM4iL/0NHRoYiICKXnJQ87duwgdT2yNb1upEGdZVBV25VUmXbv3k0VKlQQyMfBwUFqvUFx5Vel/JouszqdsZb0vaDs/l8WnkeSCAkJkeooDWgHGhrG6dOnBY4zZ87Q3bt3KTc3V92iScX379+ltoakDNO4fNLS0igiIoLs7e3JwMCAOnTowHq9hYWFgMd1CwsL0tHRIVNTU9q3bx9r3I8fP1JgYCATx9HRkXg8HjVu3FiiUlqvXr2oQYMGlJSURMbGxnTixAnasmULeXp60qFDh0TGCQ8Pp/DwcOJyuTRs2DDmd3h4OI0ePZrq1q1L9evXZ68gBYiMjKTg4GABM7U/fvyg3r17S3wJ5uXl0fz586l27dpkZ2enFE/3Dx48UPrAKiIiQuClVfwoiRdYUWV/UQdflpJGE+pGUVRdBnW0XUm1y+7duwXKwD/4ZeOfl7X8qpS/NMpcUqiiDCXZ/8tCG0gDh8MhFxcX6tKlC3Xu3FnsURrQKoOriF27dmHnzp0it8eoYhlUnWRlZWHixInYuXMn3r17J3Re3JaegoICGBgY4Pbt20rbFpafn4+DBw9iw4YNOHDggNjrNm3aJPCby+WiXLlyqFu3LiwtLaXK6/z580hNTcXXr1/h7++PwMBAiXHKly+P/fv3o06dOjAzM8PVq1dRuXJlHDhwAPPmzRPp9bVZs2YACpXB69WrJ7A8zNd3+O2331S2ta5Lly6Ij4+Hvr6+SJ2johTXOZo2bRrWrVuH8ePHY8qUKfjjjz+Qnp6Offv2Ydq0aazOHNm2EaalpSElJUUq+QsKCvD27VsAgJGRkdAWhZycHNjY2DBOBkXB5XLx9u1boaV5ImIU9GxsbAQcbskKh8NBzZo14efnJ/L8o0ePkJCQIOTMkY+kcsqDInUjC4rUo6raVxaZFG07WcpTUmUCCp+nLi4ueP78ucjzHA4HDg4OePbsGWv5Hz58iNOnT+PVq1cwMjJCbm6u1PLzeLwyL7OyUNe9oEj/l+W5pYznkTKf2apk5MiR+Oeff+Ds7IyQkBD06dMHVlZW6hZLPtQzvinbLFmyhExMTGjUqFGkp6dHw4YNo8DAQDI3N6fff/9d6Pr9+/dTTk4O8z/boYmMGDGCqlSpQrt27SJDQ0PasGEDzZw5kxwcHOjvv/9mjauIaVxV8OzZMxoyZIjK0jc1NWWc7zg5OdG5c+eIiOjx48dkaGjIGnfAgAEl4i9DVL7SHsVxc3NjVmpMTEzo4cOHRFR4jwQHB7Pmq6xthK9evWKdAVPWIcpfiCyYmppSly5dxJ6XtP2gpMqpafVYEuWWJJOibaeOdpSmnhMSEqRKy9DQkLX8a9eu1crMQvEVdv5hZWVFFSpUoMaNG9OGDRskpqOue0GR/q/O55aiz2xV8+PHD9q2bRsFBgaSkZERde/enY4dO0YFBQXqFk0mtMrgKiAmJgZr1qxBcHAwYmNjMWHCBLi5uWHatGkiLTB17twZL1++hK2tLWOtRxQcDkcjLe0cPHgQmzdvRtOmTRESEoJGjRrB3d0dzs7O2Lp1K3r37i027ty5cxERESGXaVxV8O7dO6xfvx5r1qwROnfx4kW8e/cO7du3Z8I2b96M6dOnIysrC507d8ayZcsYk8ai8PT0xL179+Di4oLq1atj9erVcHFxwapVq1C+fHlW2TZu3Cjw+/Pnzzh16hS8vLzg5eUlY0mlp3i+4jh//jyys7MFyv/y5UtUq1YNQKFJ3E+fPgEA2rdvj6lTp7Kml5CQIPCbv+rk7u4uYC63rBAQEIAPHz6IPe/s7Ax3d/cSlEiLtJTVtsvMzJTqukqVKrGWv2LFisoSSSKlUeZp06Zh9uzZaNOmDerUqQMAuHLlCo4dO4aRI0fiyZMnGD58OPLy8jBkyJASk0taymr/Vzf6+voIDg5GcHAwnj59itjYWIwYMQJ5eXm4fft26bE8pe6RTlnE0NCQ0tPTiahQkTYlJYWIiO7fv09WVlbqFE0lGBsb09OnT4mIqGLFinT58mUiKpylNzY2Zo1rYWFBenp6xOVyycDAQCl7+BUhJSVFrFJ269atBZwL3rhxg3R1dWnw4MG0YMECsre3p+nTp7Omv2XLFtq4cSMREV29epVsbGyYsm/fvp01bvfu3WnZsmVEVKi47uHhQTwej3R1dWnXrl3SF1JFmJqaCjkZrFy5Ml26dImIiBo0aEBz5swhIqLt27dTuXLlSkSuL1++CMxgff36VeCYO3euVLNfc+fOFYpbdDbuy5cvJVIeecspz6FI3chyKFKPqmpfdbWtNO1YUmWSdnUgISFBpjLJIv/PIHPXrl1p5cqVQuGrVq2irl27EhHR0qVLycfHRyaZS8O9IMtzSxnPI016ZstCRkYGRUZGkqurK1WsWLFUya4daKgAV1dXSk5OJiKimjVr0qpVq4iI6Pjx4xrpDVlRqlWrRqdPnyYiohYtWtD48eOJqHB7TMWKFVnjxsbGsh4lDdtAw97enpKSkpjfv//+OzVo0ID5vXPnTqpSpYpM+WVlZdG1a9fozZs3Eq+1s7NjBq1bt24ld3d3ysrKopiYGKpRo4ZM+aoCUd7MJ06cSLNnzyaiwsGFrq4uubu7k56eHk2cOJE1PXHbBw8cOEAnTpygx48fSyWXJA+y2dnZpKOjw/ri0tHRoezsbJnTLklUIYsidVNSsquqfdXVttLkW1JlysvLIwcHB5GK1UChcrWjoyPjvVraMski/88gs7GxMT148EAo/MGDB8xk3cOHDyUawSiN94IsaSvjeaRJz2xJFN06ZWBgQL/88gsdPnyY8vPz1S2aTGgHGipg0KBBjDWe5cuXk6GhIWOlaODAgRLjx8XF0eTJk2nQoEGlwpTZwoULacmSJUREdPLkSTIwMCB9fX3G3Gxpgm2goa+vTxkZGczvBg0a0KxZs5jfT548IRMTE5XJZmBgwOTft29f5kP96dOnEleOSgJRA43iXLhwgRYsWEAHDhyQmB5fR6O4BRN+GJfLpcaNG9P79+9Z05HmxSKvJRNlvrSOHTsmtA973rx5ZGFhQcbGxtSyZUvW+Kp6gZaElRdVDjTkLYMsMinadvLkq+oy8Slqoan4BzvfgpOk8jdv3lwoX2nl/xlkdnR0pIULFwqFL1y4kBwdHYmIKDU1lezs7FjTUde9oEj/l7WuFH0elZaBxvDhw8nS0pJ8fX1p8eLFUk1GairagYYKyM/PFzBH+88//1BYWBgtXbpU4szfjBkziMvlUp06dahTp06l0pRZeno67d69m1JTU2WKJ4tpXHnp0qUL69GsWTOxAw0nJydKTEwkosKZFUNDQ4qLi2PO37hxQ+SKVXh4OPNAK2qaVtTBhoeHB+3YsYO+fv1K5cqVo/j4eCIqHBxZW1vLVR/KRJqBhizExcVR3bp1KS4ujj5//kyfP3+muLg4qlevHh0+fJjOnTtHVatWlTh4l+XDrfhsmSTb7Mp8aZUvX54aNWrE/E5MTCQAZG1tTdWrVycArM8AVb5A5akbWVD1QINI9jLIIpOibSdvvqosU1F2795NDg4OAvk4OjoyPimkKb+ofKWR/2eQec2aNaSjo0MdOnSgmTNn0syZM6ljx46kq6tL69atIyKiv/76i3r06MGajrruBUX6vzztq8jzqLQMNDgcDjk7O1Pnzp1Zv1lKA1rztkomLy8P0dHRGDhwIBwcHGSOX758ecybNw99+/ZVgXTKpaCgAPPnz8eBAwcYU6fTp0+HoaGh1GnIaxpXXkJCQqS6TpQC9PDhw5Gamoo///wT+/btw6ZNm/Dff/8xZvS2bt2KxYsXIykpSSBes2bNsHfvXlhYWDCmakXB4XBw6tQpsedjYmIwZswYmJiYwNnZGcnJyeByuVi2bBn27NkjpDxd0piamiI1NRVubm5M2Lt372BtbQ0AePbsGdauXYvv37+jY8eOaNSoEWt6Pj4+WLNmDerXry8Qfv78eQwdOhS3b99GXFwcBg4ciIyMDLHpZGVlMUpzX79+hbGxsdhrc3JyEBMTg0ePHqFSpUoYMWIEq9lWWdKWhK6uLmJiYhjP9IGBgTh//jy+f/8OABgwYAB27NjB/FalLKKQtW5kQRHZVdW+sqSraNvJm68qy1Sc/Px8nD17FpmZmShfvjwaNWrEeNmWVP4+ffpg69atIvOVJP/PIvP58+exfPly3Lt3D0Ch4ZCwsDCh5x8b6roXFOn/8ravvM8jVT8nlcWAAQOkMlEurbEWtaLukU5ZxNjYmDFhKitWVlaMCVBNJyoqirhcLgUFBVGnTp3IwMBA5u1dipjGLWnevHlDjRo1Ig6HQ6amprRnzx6B882bNxdpvliZXL16lfbs2SOgCHbo0CHGTK46KaoMfuPGDXJ2diYul0uenp50/fp1srOzIxMTEzIzMyMdHR3au3cva3oGBgZ08+ZNofAbN26QgYEBERWunkkyC6wp+4slAYBRnCcisrS0pIYNGzK/4+Pjie2RXVpm6kRREisaqpRJ0baTN19ZUVXaksp/+PBhjWvf0ijznDlz6MOHDyWer6R0Fen/Jf3cKs3PydKKZnoqKeW0aNECiYmJcsUdPHgwtm3bpmSJVMPmzZsRExOD48ePY9++fTh48CC2bt3K6kynOAcPHkRMTAy6desGXV1dNGrUCFOmTEF0dDQzm6Qp2NjY4MyZM/jw4QM+fPiALl26CJz/999/MX36dJXKULNmTXTp0kXArF27du3QoEEDleYrDVRkcXTChAmoVq0azpw5g6ZNm6J9+/Zo164dPn36hA8fPmDYsGGYO3cua3o1a9ZEREQE3rx5w4S9efMGEyZMQO3atQEADx48gKOjo2oKVMJwuVzcuXMHQOHK6IcPHwQcIvKdTGnRPH72tiuN5S+NMkdHR4s0ka9uSmNdaik5yp4xeg2gTZs2mDRpEm7evImaNWsKLc117NhR4Pe4ceOY/wsKCrBmzRrExcXB19cXPB5P4NqFCxeqTnAZycjIQNu2bZnfgYGB4HA4+O+//6TeNvb+/Xtmq42ZmRnzEG3YsCGGDx+ufKGVgLm5uchwabx2ZmVlYe7cuYiPj8fr16+FBmWPHz9mjf/8+XMcOHBApMd5VfWN79+/g4hgZGQEAHj69Cn27t0Lb29vBAUFMdd9+fKF+T8pKQmnTp2Cr68vqlevjjVr1mDEiBGMF9awsDAEBASw5rt+/Xp06tQJDg4OzGDi2bNncHNzw/79+wEULn1PmTJFqeVVF46Ojpg0aRK8vb0RHR0NABgxYgRzPjExEQYGBuoSTwsLP3vbSSr/2bNn1SWaWEqjzKShO91/9v6vhR3tQEMF8G8wUR9+opzuXb9+XeB3jRo1AAC3bt0SiqtJ5OXlCT08eDwecnNzpU7Dzc0NT548gZOTE7y8vLBz507UqVMHBw8ehIWFhZIlVj+DBw9GYmIi+vbti/Lly8vUpvHx8ejYsSPc3NyQlpYGHx8fpKeng4jg7++vMpk7deqErl27IjQ0FB8/fkTdunXB4/Hw9u1bLFy4UOSA8P3797C3twdQ6KjP2NgYlpaWzHlLS0uBgYkoPD09cefOHZw4cQL3799nwlq2bMkMWNgcXJY2/v77bzRv3pwZgP3666+wtbUVOF+lShV1iaeFhZ+97SSVf8eOHeoSTSylUWZN5Wfv/1okoN6dW1pKMxwOh9q2bStgAUFXV5eCgoKktopQlkzjSoO5ubnc+hS1a9emadOmEdH/LDx9+fKFOnbsSDExMcoUUwBra2u6desWERGtXbuWfH19KT8/n3bu3EleXl4i43A4HHr9+jXz28TERMDvxcuXL8Va91I2pWnP+/fv32nHjh107do1oXM7duyg+/fvl5gsJUlJ62h8//5d6ekq0naK5MtHGtv6quwjbOXfvHmzxuk7EClHZlH1riqZJVn2U6e+krz9X6ujUfbRWp3SYJ49ewYAGrsHXRELTuJ4+vQprl27Bnd3d/j6+sormsbi6uqKI0eOyDW7Y2pqipSUFFSqVAmWlpY4d+4cqlatitTUVHTq1Anp6enKFxiAkZER0tLS4OTkhB49eqBq1aqYPn06nj17Bk9PT5H7b7lcLtq0aQN9fX0Ahbo4zZs3Z7YRZmdn49ixYxKtimVlZSExMVHkVrHRo0dLJb8kKyM7d+7E5MmTkZGRgby8PACAvr4+ateujX/++Yd1G6AqLZjcu3cPxsbGUm9DLElrKqdOnUK3bt3w4cMHpaSnKqtTs2bNQpUqVdCtWzfk5eWhVatWOH36NAoKCsDlctGyZUscOXKEWSFTlkyytp20+X7+/BnNmzfHgwcPUL9+fRw9ehSBgYGIj48HADg7O+PcuXNi85W1TMeOHYOJiQkaNmwIAFixYgXWrl0Lb29vrFixQmCVsijFy8+Wb3JyMsLDw/H06VPY2NggKipKYEuuNDIfOHAAbdq0AY/Hw4EDB1jLVHzrsjQy//fff+jQoYPU9a6qe1GUZb+iSMq3f//+OHfuHJo0aYINGzZgzJgxWLVqFQoKClC/fn2xuqWylkeW/q9IXd26dQsFBQUyfSuUFqtTZQp1j3TKEt++faODBw8yvydNmiTgI+G3336TOJOWm5tLU6ZMITMzM+JyucTlcsnMzIz++OMPysnJUXURSoz8/HyaO3cu1a9fn2rVqkUTJ06kb9++qVsslbNlyxb65ZdfKCsrS+a4dnZ2dOfOHSIiqlKlCu3fv5+ICv1oqNJhX7Vq1WjJkiWUkZFBZmZmdOHCBSIqtIAlzoHUgAEDpDrYSE5OJnt7e8ZKVbly5YjD4ZCxsTG5urpKLT/bDNasWbMIAFWsWJFcXV0JAFWrVo3q1q1LPB6PdHV1Wf3BKHt2LD09nXx8fAQcjXG5XAoICJDosKkkZ+p27NghtRUlaVDVioaenh4tW7aMiIiCgoKIw+FQp06daObMmdSlSxficrnUunVrpcikSNtJm6+/vz9xuVyqWbMm6enpkY+PD+no6NDw4cNp1KhRxOPxyNfXV660ReHj40OHDx8mokJrb/r6+jR58mQKCAgQun/Zyp+eni7g84D/HNu/fz8BIB6PRw4ODqSnp0cA6N9//5VJZg6HQ69evWL+F3cUX0WVVubq1avLVO+auKLRuXNnAkAVKlQgLpdLgYGBxOFwKDAwkJo1a0YAqHfv3jKny0fe/i9N2g8fPqSKFSuSjo4OeXt7U3Z2NlWuXJmJZ2JiQtevXxebh6z5aVEu2oGGElm5ciW1b9+e+W1iYkJ169alpk2bUtOmTcne3l6k98+ihIaGkq2tLa1atYpSU1MpNTWVVq1aRfb29hQaGqrqIpQYyjCNW1qoUaMG+fn5MYepqSmZmJiQj4+PQLifnx9rOp06daI1a9YQEdH48ePJ3d2dZs2aRf7+/tSiRQuVyf/vv/8Sj8cjLpcr4OE1Ojpa7EeaMmjSpAkNGTKE8vPzmRdsRkYGNW7cmHG6JQ1sLxZDQ0MKDg5mfs+ZM4f09PSIiCgrK4ssLS3J3d1drrRl5eHDh8Tj8QgAeXl5MU46vby8CAAZGRnRhw8faMOGDdS1a1eVytK1a1fWo06dOqVioAGAGRjr6+sLOcWcPn068Xg8hWVStO2kzVdHR4f+/PNPIiJKSEggADR58mTm/Jw5c0hHR0eutEVR1FT79OnTqVu3bkREdO3aNYFJBknlNzQ0FBho8Ldi2tvbk52dHTMBl5ubS05OTmRrayu3zNIii8wcDkemeleVzG3atKH//vtP7HlJg+4RI0YQEdG2bdsIAPXv3585379/fzIyMpI5XSLF+r80deXh4UH6+vr0yy+/kLm5Odnb25OBgQHFxMTQ6tWrydjYmNzc3MTWi6z5aVEu2oGGEmnYsCEdOHCA+V189mHLli0UEBDAmoaZmRkdOXJEKPzw4cNkZmamPGHVjLu7O61atYr5ffLkSdLT05Nqn3FpY8aMGVIfbDx69IiZXf/69SsNGzaMqlWrRl27dqX09HSVliEzM5OSk5MF2ufy5ct09+5dleVpbm5OaWlpzP/8WdBLly6Rp6en1OlI+hA9e/Ys8zs/P58AMLNjy5YtIw6HI1faslKjRg3S19cX6TskNTWVDAwMqGLFigSABg8erFJZ+LORurq6Ig8ul1sqBhpcLpfWrl3L/L9t2zaB8ydOnBBbDllkUrTtpM236MCJ/3vfvn3M77Nnz7K2i6z1bGlpSbdv3yYiogYNGtDq1auJiOjJkycC/msklV9fX1/kQENHR4dZceKzbds2gZUHWWTOycmh5s2bS6UPI6vMstS7PP05Ly+Pdu3axXgG37NnD+Xl5UkVV5p8JZUhLi5O7LNOUnkU6f/S1BWXy2W+F27evEkAaM6cOcz5mJgYqXX+tAONkkc70FAi9vb2Ao76bGxsBH7fu3dP4mChXLlyzAdVUe7cuUM2NjbKElXt6OnpUUZGhkCYvr4+PXv2TE0SadE0bGxsmA8GDw8POnbsGBER3b17V+zMmyjYXiy6uro0a9Ys5ndcXBwBYBwiJiYmKvXDjQ0dHR0BWYozc+ZMAkBNmzZVuSy6uro0duxYsee3b99eKgYaPj4+ZGtrS9nZ2eTl5UWenp4Cg2VfX18yMTFRWCZF207afPX09Gj06NFERBQbG0sABFaCR48eLXaFRtYyERF16NCBWrVqRVFRUcTj8ej58+dERHT8+HHy8PBgrpNU/qlTpwp8tPPfcTo6OgLbpIiE7zlZZS763GBDFpl5PJ5M9S6rzA8ePKDKlSuTkZERs7ptZGREnp6eMjnwZcuXw+EIbO3W0dERMEzCf/bJmi4/LXn7vzR1BUBAVgACDnMlPadlzU+LctEONJSIgYEBMwMrirt375K+vj5rGpGRkRQcHEw/fvxgwn78+EG9e/eWOONdmuByuQJWiYiELROVRVxdXent27dC4R8+fJCod3DlyhUB76t8Ll26RElJSUqTsThNmzalZs2aiT1URcuWLWnr1q1ERDR48GCqU6cO/f3339SqVSuqU6eO1OmwvViaNWtGOjo6FBwcTCEhIaSvr0/ly5dnzk+YMIH1nlX2KsKVK1fEnr9y5UqJDXoqVqzIWselRUfj6dOnZGRkRDwej9zc3AgA6ejokJWVFenq6hIAWrduncIyKdp20ubL32dvZWVFHA6HunXrRlwul+rUqUMBAQEEgJo3by5X2qJ4+vQptWvXjnx9fQXqaezYsRQWFsb8llR+/ocg/+DrTAAQ2hI8Z84c0tXVlVvmsWPH0sSJEyVeJ4vM7du3l6neZZW5TZs21Lp1a3r37h0T9vbtW2rdujW1bdtWYnxp8jU1NWUGS6KYOnWq2GedpPIo0v+lqSsDAwPq3r07ERV+IwGgjh07MueDg4MlflvJkp8W5aL1o6FEHBwccOvWLXh6eoo8f+PGDYlWGK5fv474+Hg4ODigevXqAIDU1FTk5OSgRYsW6Nq1K3Ptnj17lCd8CUNEGDBgAGOVCAB+/PiB0NBQASsQpbmMokhPTxdpaSk7OxvPnz9njTty5EhMmDABdevWFQh/8eIF/vzzT1y+fFmpsvLh+3Xhk5ubi5SUFNy6dQv9+/dXSZ5AoRdcvq+N2bNno1+/fhg+fDg8PDywYcMGpeRx5MgRNGnSBDt27AARwcnJCcePH2fOe3l5Yf78+UrJSxJcLhdJSUmM1/PiXL58WaR1JFUQExODjx8/ij3fvn17nDt3rkRkUQQnJye8efMGgwcPRlxcHPT09EBEyM/PR506dbB48WKx9S0LJdV2e/fuxciRI3H27Fn06tULy5Ytw+LFizF9+nTk5eWhadOmAv1XUZycnHDo0CGh8EWLFgn8llT+pKQk5v8BAwZAV/d/nx41a9YUuPbkyZMKWRzMy8vDhg0bEBcXJ9JhLt+/lSwyb9++HRMmTFBZvScmJuLSpUsCTl+tra0xd+5cNGjQQO50i/Lnn3+yOpW9f/8+OnToIFfaqu7/ISEhWLlyJfT09JCbm4tx48Zh8eLFcHJyAofDQUZGBrp37y53+lpUi9a8rRIZM2YM4uLicO3aNSFHdt+/f0etWrUQGBiIJUuWiE1DWpOxgGxmYzUNVZjG1WT4Jhc7d+6MTZs2CXgXz8/PR3x8PE6ePIl79+6JTcPExAQ3btwQMm345MkT+Pr6SnSAp2xmzJiBr1+/4q+//irRfGVFleYMlZl25cqV8fr1azx//pxJk8/nz5/h5OQEW1tbxnmhKmUpaVRl3rakZFK07eTNV1ZkTTsjI4P1vJOTEwDJ5Xd0dMTnz5+lzlcRmZs1ayb2HIfDwalTpzROZisrKxw6dAj169cXCD9//jw6dOiA9+/fqyRfaZGUriL9X1qZV65ciSNHjqB9+/YYNmwYDhw4gPDwcGRnZ6NNmzZYu3atUsqiRfloBxpK5NWrV6hRowb09PQwatQoVK5cGUChTenly5cjLy8P169fh52dnZol1VLS8GdzOBwOit9yPB4PLi4uWLBgAdq3by82DWtraxw6dAj16tUTCL9w4QLatWunNJ8G0vLw4UPUqVNH6pegupDnxVJQUIC8vDzo6ekpPW1xJCUlISAgABwOB0FBQfDz8wMRITk5GXFxcSgoKMD58+eF2l8Vsohj8ODBmDZtGvOBqSxKeqAhTTlkSVfRtiuJ8siTNpfLBYfDEXuevzorTfn5zz1NGUhqksz9+vVDcnIy1q9fjzp16gAoXAUYMmQIatasidjYWJXke/LkSaSkpMDf3x8tWrSQO11F+n9Jf/hrBxpqQA3btco0jx8/platWhGXyxWw3d2qVStW+9dafg5cXFxksqlflF9//ZWaNGlCHz9+ZMI+fPhATZo0YfavliSbN28W0GdQNi9fvqQ+ffpQ+fLlSUdHh/Erwz+khW1P7vfv36lBgwZkbm5OjRs3JiKitm3bMte7ubkxiuGypi0PiYmJZGNjI7CfHQBZW1tTXFyc3OVUFgAEFEqVhap0NMQhTTlkTVeRtlMkXyLp20XWtFNSUgSOpKQkWrNmDXl5eQmZmGYr/8GDB5nfK1eupOzsbCbe1KlTydzcnLhcLhkZGdGQIUMUrg+iQgXrY8eOMf6ZCgoKhK7RFJk/fPhAHTt2JA6HQ3p6eqSnp0dcLpc6d+4s8LyXBFu+QUFBNG/ePCIq/E6xtLQUKLONjY1Y64XSlEfe/i9v+544cYLmzZtH8fHxUsdRJD8t8qNd0VAR79+/x8OHDwEA7u7urHsji7Nr1y7s3LlTpDfk5ORkpcqppfTw4sULNG7cGO/evYOfnx8AICUlBXZ2djh58qTKPMgX1QsCCvVrMjMzcfXqVUydOhXTp09XSb5t2rRBRkYGRo0ahfLlywvNrHbq1EmqdNhmsBo1aoQLFy7Az88Pt27dQqVKlXDv3j0MHToUeXl5WL9+PVq1aoUjR47InLYiPHnyBKdPnwYANG7cGJUqVZIYR5myiNtPzX9d8NuioKBA7jyKoqoVDUXKIa9M8rSdtPkq2i7K6iOHDx/G/PnzmXIWRVT5i+YLFHp0rlq1KqZOnYpZs2bBzc0NtWvXRkpKCu7du4cJEybgzz//lEvmd+/eoUePHkhISACHw8GDBw/g5uaGgQMHwtLSEgsWLNA4mfk8ePAAaWlpAIAqVarA3d1dqnh82PLV1dXFli1bEBwcDC8vL2RkZGD9+vVo06YNTpw4gUGDBqFChQoit+/KUh5Z+780abdq1QqBgYGIiIjAkydPULNmTYEVfBsbG1y9ehXOzs6seclaFi3KQasMriKsrKyYJVBZWLp0Kf744w8MGDAA+/fvR0hICB49eoSkpCSMHDlSBZJqKWni4+MRHx+P169fC30QsCk5V6xYETdu3MDWrVuRmpoKQ0NDhISEIDg4GDweT2XympmZCXzkc7lceHp6IioqCkFBQSrL99y5czh79qyQMroyuXTpEv744w9ERUUhPj4egYGBGD16NKNHZWxsjJUrV6osf3G4urrC1dW1xPPlQ0SwtbVFx44dBcLWr1+Pli1bSvVC1wTUUQ5Vtp2mtIunp6eAsnRRZCn/0qVLERAQgIsXLzJhQUFBiImJYT7aZSU8PBw8Hg8ZGRmoUqUKE96zZ0+MGzdO5EBD3TLz8fDwgIeHh0JpiCM/P5/ZWvfo0SMsXLgQwcHBAIAePXogJydHKcY9VNH/4+PjMWDAAACFE1A/fvzAtm3bBAZJQUFBrDqOWtSHdqChYcTExGDNmjUIDg5GbGwsJkyYADc3N0ybNk3j98JrkUxkZCSioqJQq1YtkbP0kjA2NsbQoUNVJJ1opN0frGwcHR2F9FmUTV5eHtq1awcAzB7lVq1aMee7dOmCxYsXq1QGTSQuLg6dOnXCqVOncP78edjb2wMA1q9fj1GjRgl86GoyZaUcfEq6PHxlaD781cwZM2Yo5YP4y5cvQhNo4eHhiIuLkzvNEydO4Pjx40IWHj08PPD06VO50+WjLJnHjRuHmTNnwtjYGOPGjWO9lm8pSxF4PB5OnjzJWLEqrn/G4/GUtkKpbEpqkKRFNWgHGhpGRkYGY3nC0NCQsSTUt29fBAQEYPny5eoUT4uCrFq1CrGxsejbt69c8R88eICEhASRqyHTpk1ThohCuLm5ISkpCdbW1gLhHz9+hL+/Px4/fqySfBcvXoxJkyZh9erVcHFxUUkeXC4Xz58/Z0wGm5qawtbWljn/9etXleSr6bRo0QJv375FkyZN4OjoiKVLl2L48OHqFktmyko5+JR0eSwsLIQmQ4gIjo6O2L59u9zpnjx5Enfv3gWXyxVp7luRCYasrCwYGRkJhb9//17AnLqsKFvm69evIzc3l/lfHLJORokjKCgIc+bMQaNGjdC2bVv89ttv8PDwQPPmzXHmzBmEhoaiYsWKSslL2ZTmQZIW7UBD47C3t8f79+/h7OwMJycnXLp0CdWrV8eTJ09UPrurRfXk5OQImTCUlrVr12L48OGwsbGBvb29wAuIw+GobKDB5vvjxYsXSs3L0tJSoFxZWVmoVKkSjIyMhLaHKWOFz8zMDMeOHUO3/2PvvKOiSLq//50h5xxUkKyAGFDXrKiogGJizRl1zWJa1H3WHFlMa1p1XROYcxYDAiKKYsIEihF0FVREBQyE+/7BO/2bYWZ6IkG3P+f0ganuW3W7qrq6q/vWvT//DED8De65c+ckPrT8F9DV1cWVK1ewbNkyjB8/HpGRkRWtklL8KOchoDzPJyYmRuQ3n8+HlZUVXF1dRWJhKMqkSZOY/w8fPizyNvrUqVMqTQhatmyJiIgIzJ8/H0DJ2FhcXIzw8HBW17flrbNw3Zau57Lg+PHjqFu3Ltq1awdtbW0mNpcAfX19xMXFlbkeyvA9T5I4uIlGpaNt27Y4evQovL29ERwcjEmTJmH//v24du2a2KJcju+P4cOHY+fOnZg5c6bCsgsWLMDChQsxbdq0MtBMHEHsDwA4ffq0xNgf6v7SUN5mSrt374aenp7U/V+/fi13U7XKxpQpU9ClSxf4+PiAx+OV6XqgsuRHOQ8B5XE+Pj4+as/z7NmzItec8BdEoCRw66BBg5TOPzw8HL6+vrh27Rq+ffuGqVOn4t69e8jOzkZCQkKl1Lm8SE5OxvHjx7Fu3To8e/YMxcXFsLGxgb+/P6ZOnVpuAUEV5XueJHFwcTQqHcXFxSguLmbeFu3evRuXLl2Cm5sbRo4cKdOvP0flZsKECYiIiECdOnVQp04dsYcDNltcY2Nj3Lp1SyxgX1nBdtORN/ZHZaAyBUArSyqTLoryvQfsUyeVrb/++++/uHjxokRzzZCQkDIrVxXZDx8+YM2aNUhOTkZubi7q16+PsWPHokqVKmVariKyirw4PHjwoNrKVYbK0ifVMUn6nsfJ7xXui0YlorCwEIsWLcLQoUOZhWx9+vRBnz59KlgzDnVx+/ZtxovS3bt3RfbJssXt2bMnzpw5g1GjRpWVeiIIHiqcnJyQlJQES0vLcilXmKKiIhw6dAgpKSkAAE9PT3Tt2lUls43SfPv2DZcuXUKLFi2gqamJjx8/Yvbs2SgqKsKIESPg5eWltrK+J36UevlRzkNAeZ7P1q1bmRdcFhYWYuaa8k40SlOW55Ceng57e3v8/vvvEvcpG2xS3ToLfyEuL773ayEwMLDSv9jikED5hu3gkIWBgQE9ffq0otXgqIQsWrSILC0tafDgwbR06VJauXKlyFZWbNu2jb58+SKW/vXrV9q2bVuZlXv37l1ydnYmfX198vb2Jm9vbzIwMCBHR0e6c+eO3PmwBWjat28f8fl8AkA6OjqUmJhIOjo6zPE8Ho82b96sVN7ljTp1kadetm7dqibNyy5gnyrnUVFtW1bnIytvSdjZ2dGCBQuoqKhIbecUGRmp0DWnqM58Pp8yMzPF0t++fat0oM+y1lldfI/Xgrx5f/36lWJiYqigoICIiD58+EATJ06k8ePHq+1+wFE2cBONSkaXLl3UegPnqFxs3ryZiVSrKI6OjlI3JycnNWv6f6jrxq0oTZo0oc6dO1N2djaTlp2dTV26dKGmTZvKnQ/bjcXCwoKqVatGBw8epHr16pG2tjbZ2dlRXl4eff78mZycnMjc3FypvMsbdeqiar0oSllNNFQ5j8r4sFje/dXc3JwePXqk1nNS9BwU1ZnH41FWVpZY+rNnz0hfX79S6qwuvsdrQZ681fniozKN2f8VuIlGJWPdunVka2tLU6ZMoZ07d9KRI0dENo7vG2trazIyMqKhQ4dSQkJCRasjF9Ju3Ldu3SIzM7MyK1dXV5fu3r0rln7nzh3S1dWVOx+2GwuPx6Njx44REdG7d+8IgMibycOHDxOPx1Mq7/JGnbqoWi+KUlYTDVXOozI+LJZ3fw0NDaXFixcreSaSy1X0HOTVedKkSTRp0iTi8/k0cuRI5vekSZMoJCSEGjduTM2aNas0Ont7ezMvUerVq8d8tZW0KaPz93ItyJO3Ol98VKYx+78Ct0ajkjFmzBgAkhcF83g8iW5GOb4fXr58iWPHjmHr1q1o3bo1nJ2dERwcjMGDBzPBtyoL3t7e4PF44PF48PX1FVkXUVRUhKdPn8Lf37/Myq9RowYyMzNRq1YtkfSsrCy4urqqrRyBW0pdXV0Aoj7av3fPRKrwo9TLj3IeAsrzfBYvXozAwEBERUWhdu3aCjmvYKMszkEQi4KIcOfOHZE8tbW1UbduXfz6669K5Q2oX+euXbsyeXbr1k1pvRThe70WsrOzcfToUQQGBsLHxwcWFhaYN28e43p8xYoV6N69ewVrySGVip7pcHD8V3n9+jUtXbqUateuTVpaWtS5c2c6fPgwqz10RkYGrV27lqZNmybyxm7SpElq12/OnDk0Z84c4vF49OuvvzK/58yZQ4sWLaKdO3fS169f1V6ugBMnTlCtWrVo3759lJGRQRkZGbRv3z6qXbs2nThxgj58+MBsbLC9wTIzM6MaNWpQUlIStWnThrS0tMjNzY3Z7+XlRcbGxkrlXd6oUxdV60VRyuqLhirnURm/aJR3f50/fz7xeDxyd3cnHx8fat26NbO1adNGqXMyNTVV6BwU1XnIkCEyx4TKprO6+B6vBXny5vF4dObMGSIiysvLIwC0fft2Zv+JEyfk/sJamcbs/wrcRIODowJJTEykESNGkI6ODjk6OpKJiQk5OjpSTEyM2LHnzp0jfX198vLyIk1NTapXrx6ZmpqSiYmJQjd9Rdm6dSt9/vy5zPKXBo/HYzY+n098Pl/ib1nrRNhuLFu3biUej8eYRxw+fJgMDAyY/AFQeHi4UnmXN+rURdV6UZSymmioch6V8WGxvPurqakpbdmyRdVTEil3/fr1Cp1DZWiH8tI5KSmJIiIiKCIigq5du6aSzt/LtSBP3up88VGZxuz/ClwcjUrC58+fER0dzbhu++233/D161dmv4aGBubPn8988uT4fsnMzERkZCS2bNmCJ0+eoFu3bhg2bBjatWuHvLw8zJs3D7t378bz589F5Bo1aoSAgADMnTsXRkZGSE5OhrW1Nfr37w9/f3+MHj26gs6obFAkABNbYDFZftOzsrJw5swZtGvXDra2tsjJycHEiRORl5eHoUOHIiAgQOm8yxN166JKvShKWcYsUPY8KmscjfLsr7a2toiPj4ebm5tazykvL0/uc1CmHa5du4a9e/ciPT0d3759E9mnbEyKstT5xYsX6Nu3LxISEmBqagoAyMnJQbNmzbB7927G3b2iOn8P14I8eW/btg3BwcEgIvB4PBw6dAj9+/fH58+fAYCJ/B4aGqqW8jjUTAVPdDj+P+vWraPAwEDmt6GhITVu3Jj5TG1ra0vLly+vQA051EFgYCBpaWlRrVq1aMWKFfTu3TuxYzIzMyV+BjY0NGQ8wJiamjILpW/dukUODg5lpnNhYSEtWbKEfvrpJ7KxsSEzMzORrbJT0W/jyovKpIuilNUXjYrSqbKWq2jeixYtovHjx5d7uarI7tq1i7S0tCgwMJC0tbUpMDCQatSoQSYmJjRkyJBKqbOfnx81btyYUlNTmbTU1FRq2rQp+fn5lYvOFZGvInlnZmZSZGQkvXr1ioiI3r9/T4MHD6YePXrQyZMn1V4eh/qonPHm/4Ps2LEDI0aMEEnbuXMnYmJiEBMTgyVLlmDv3r0VpB2HurC2tkZcXBzu3r2LiRMnwtzcXOwYKysrPH36VCzdwMCAeTtXpUoVPH78mNn39u3bMtN57ty5WL58OXr37o0PHz5g8uTJCAoKAp/Px5w5c8qsXKDkrd6yZcswfPhwDB8+HCtWrMCHDx/KtExhsrKysHr16nIr73vhR6mXH+U8BKj7fK5evYpt27bB2dkZnTt3RlBQkMhWFqh6DosWLcKKFStw7NgxaGtrY+XKlUhNTUWvXr2UDtYnC1V1jouLw7p161CzZk0mrWbNmli9ejUuXLigDhVlUtmvBWtrawwYMIBxmmJqaoqtW7di3759av26yqF+uIlGJeHRo0eoXbs281tXVxd8/v81T6NGjXD//v2KUI1DTRQUFODZs2cyI2zzeDw4ODiIpTdp0gQXL14EAHTs2BFTpkzBwoULMXToUDRp0qRMdAZKJsEbN27ElClToKmpib59++Kff/7BrFmzkJiYWGblXrt2DS4uLlixYgWys7ORnZ2N5cuXw8XFBTdu3JA7H2FPbRcuXFDIc1tsbCxr9GNhs4w1a9aImWmUJ+Wpi6x6URRV2qis2rei2laVcmW1i6J1ZWpqiqCgIPj4+MDS0hImJiYim7woUm7pc1BU58ePH6NTp04ASrwq5eXlgcfjYdKkSfj7778rpc729vYoKCiQqEPVqlXLROfSVNS1oIrOAhSZJFWmMfs/Q0V/UuEoQVdXV+SzaWlSUlJIR0enHDXiKAssLS3p4cOHSsk+fvyYkpOTiajk8+/IkSOpdu3aFBQURM+ePVOnmiLo6+vT8+fPiYjI1taWrl+/zuijTs9DpWnRogUNGTKEiQRLRFRQUECDBw+mli1bypXHgQMHqGrVqsyncgBkZ2dHBw4ckEt+z549JG2YDA0NZRZRCjYNDQ0KDQ2VK291Ut66sNWLoqjSRmXVvhXVtqqWy9YuqtaVsiharvA5KKNztWrV6Pbt20REVLt2bdq5cycREV26dEnu8aq8dT58+DA1atSIkpKSmLSkpCRq0qQJHTp0qEx0ZjsHYcryWlBXn5R3PKpMY/Z/CW6iUUlwdXWl/fv3S92/Z88ecnFxKUeNOMqCiRMn0rRp0ypaDYWoUaMGJSYmEhFR8+bNmQBeu3fvJisrqzIrV1dXl1JSUsTS7927R3p6ejLlDxw4wHhZEd4EnqsE+9k2gUxpQkNDxfIV3srzxlUWuihbL4oiTxupIqvMeVRU28pTrrLtoko9FxQU0NmzZ2n9+vX08eNHIiJ6+fIlffr0SeY5SStXkg6lz0FZnfv27UvLli0jIqJ58+aRlZUVDR8+nBwcHKh79+6VUmdTU1PS1tYmPp9P2traIv/Lsybue7wWVOmTpZFnolGZxuz/GpzXqUrChAkTcO7cOVy/fl3Ms9Tnz5/RsGFDtGvXDitXrqwgDTnUwfjx4xEREQE3Nzc0aNBAzOOFsgGwypLp06fD2NgY//vf/7Bnzx4MGDAAjo6OSE9Px6RJkxAWFlYm5drY2CAyMhIdOnQQST99+jQGDRqEzMxMqbJFRUVwdHTEixcvJO7n8Xiws7NDRkYGGjRoAG9vb4nHPXr0CLGxscjMzIS+vj54PB6+ffsGS0tLFBcXSy2fz+fjzZs3KCwsBABYWlqKmELKori4mFl3IyhXEvLq8vbtW5HgXAKICPn5+WI68ng81np5/PgxYmJioMrtQ942evr0KTQ0NJSSVbR9CwoK5K5PLS0tiXUnD6XbV95yi4uL4e3tDU9PTwAlJrbCfUNSu6hSz8+fP4e/vz/S09Px9etXPHz4EM7OzpgwYQK+fv2K9evXS9VXVrlAybqzPn36SDwHOzs7pXTOzs7Gly9fULVqVcYb0aVLl+Dm5oYZM2bAzMys0um8bds2qeWVZvDgwQrpXBmvBUX7pKz8BP09NzdX4v6yGic55KQCJzkcQrx+/ZpsbW2pevXqFB4eTocPH6bDhw/TH3/8Qfb29lSlShV6/fp1RavJoSLCAa9Kb5JiYZiamoq90ZK2lReXLl2iZcuW0dGjR8u0nPHjx5OdnR3t3r2b0tPTKT09nXbt2kV2dnY0YcIEVtmYmBjWt1eCTU9Pj/Ut58aNG+XKR9aWmZmp0LlnZmaqpVxldTQyMmKtF3WYTsnbRpJiynDtK7lcSe2iSj137dqVBgwYQF+/fiVDQ0N6/Pgxk6erqyvrOSpbruAclNVZFX5knSvTtaBoPQOgBg0a0PDhw0W2/v37q0VndZ8fhyia4KgU2NjY4NKlSxg9ejSmT5/OzNB5PB7at2+Pv/76CzY2NhWsJYeqxMTEKHT8n3/+WTaKqEDTpk3RtGnTMi9n6dKl4PF4GDRoEPNlQEtLC6NHj5b5FeXVq1dyleHi4oL3799L3V+tWjX5Ff6BaNKkCWu9ODg4wNXVVaUy5G0jScdx7SsZSe2iSj3Hx8fj0qVLYm95HR0d8fLlS4Xzk+c4BwcH2NjYsH6xLC378eNHucoCAGNjY7l1kfc4ZXSWxpcvX8QWKKtD58p0LShaz0ZGRqhevTo2btwosj8rKws7duxQu34caqaiZzoc4rx7946uXLlCV65ckRhngeP7Jy0tjaKioig/P5+IiIqLiytYI+m8ffuW+T89PZ1mzpxJv/76K124cKFcys/Ly6Pbt2/T7du3KS8vTy4ZVd7iCvPp0yeRN1m5ubkUFhYmV97z5s1j/pfHnl1WuZI2eXUJCwuTKC/8Zl1RHVWlPL5oKNq+itSnKnVXnuWqUlempqZ07949IiKRLxrx8fFkbW1dZuUqKsvj8ZgI19I2wTGVRWdhcnNzaezYsWRlZSVR97LSWZjK3Cfbt29PrVu3ZtXZycnphxwnfwS4iQYHRzny9u1batu2LXPTE9y4g4ODafLkyWLHf/jwQe5N3dy+fZscHByIz+dTzZo16ebNm2RjY0OGhoZkbGxMGhoacntEUYacnByJE+13797JPN/CwkKys7OTuqiTx+ORvb09FRYWsuYjKbjT169fSUNDg/WGpaGhQdnZ2WKy8iJvUCl5dfn69atK5ZQFqrRRWbWvIvWpzoBuZVmuKnXVq1cv+uWXX4ioZKLx5MkT+vTpE7Vt21Zm8LvybN/Y2Fi5t8qiszBjxowhDw8P2r9/P+np6dHmzZtp/vz5ZGdnR9u3by8znYX5Xvokm87S+J7HyR8BbqLBwVGODBw4kPz8/CgjI0PkDWFUVBR5enqKHa+uN3XK4O/vT4GBgXTx4kUaOXIkVatWjYYOHUpFRUVUVFREY8aMocaNG6u9XOHy165dK5a+bt06CggIkCkv7Gml9E1M4NUkKiqKNm/eLCIXHh5OpqamZGBgQG3btpV4g5HHg0l5RRZWxZuKtHJk1Uv79u0VOh9pyNNGqsgq077y1qe621eecqOiomjdunUisvK0i7L1nJGRQZ6enuTh4UGamprUpEkTsrCwoJo1a8plqy6tXEHZgnIlnYMqfUMVKkJne3t75u29kZERpaWlERFRREREhY51ZXktqKN9K3qc5JAPbqLBwVGO2NjY0K1bt4hI1BTh8ePHZGBgIHa8ut7UKYOFhQUTt+PTp0/E4/Ho2rVrzP6UlBQyMTFRe7kCzMzM6P79+2LpKSkpZG5uLlceBw4cIDs7O5Ebir29PXMTq1KlikhMjri4OAJAFhYWVLduXRG50jeY0NBQsbdkwj7Zy2uiIY8uipYjT71069ZNoXOShqw2UkVW2faVpz7Lon1llVulShVq1qwZsy8qKkrudlG2ngsKCigyMpJCQ0Np9OjRtHHjRsbkUx4klautrc2Uy9a3lNH51KlTFB8fz/xes2YN1a1bl/r27UvZ2dmVUmcDAwMmVlG1atXoypUrRET05MkTifcFeXWu7NeCvHUlbZJkYmJSoeMkh3xwEw0OjnLE0NCQCdgnPNFISkqS++FZEnfu3FGLfsLweDyRt5bC+hKVeEoriy8pAvT19ZnAW8Lcvn1brjgaAgoLCykmJoZ27txJMTExIp/jNTQ0aMOGDcxvX19f0tXVZX4LezWRdIP5+vUrrVixgsaNG0crVqwQ+fRenhMNWbooWo6sehk8eLDIb1VhayNVZFVpX1n1WVbty1auhoYGrVq1ipFt3bq1Qu2iSj2rgnC5fD6f1q1bx+yT1bcU1dnLy4tOnDhBRCVjhba2Nv3222/UpEkTmeZeFaVz7dq1mZdFvr6+NGXKFCIiWrlyJVWrVk0pnb+Xa0GeupI2STI3N2fKDQwMlKs8dY6THPLBTTQ4OMqRgIAAmjFjBhH9n81zUVER9ezZk37++WeF8vr48SNt2LCBfvrppzJ54OfxeJSVlcX8FugroKwnGq1bt6Zx48aJpY8ZM4ZatGihljIAMMEIiUq+ogjnfeLEiXKdLKhDVh3lyKqX6OhoAir/7eNHa18AIgtpTU1N1d4uR44ckXtThrLuWwYGBvT06VMiIpo9ezYzrl6/fp1sbGwqpc7Lly+nlStXEhHR2bNnSVdXl3R0dIjP59Off/6pdL7CVNZrQR6kTZKEy1Xni4/ScBMN1eDc23JwlCPh4eHw9fXFtWvX8O3bN0ydOhX37t1DdnY2EhIS5MrjwoUL2LRpEw4cOICqVasiKCgIa9euLRN9hwwZAh0dHQAlbhdHjRrFBBn8+vVrmZQpYMGCBWjXrh2Sk5Ph6+sLAIiOjkZSUhLOnDmjljL4fD7u37+Pxo0bo7CwEO/fv2fKAsAEafqv8aPUy49yHgL4fD5SU1OZ3zk5OWo/n27duon85vF4YoEZBcHqioqKFM6/rNtEW1ubyePcuXMYNGgQAMDc3FwhN7jlqfOkSZOY/9u1a4fU1FRcv34drq6uqFOnjkp5C/ier4WioiLUrVuX+X3jxg00bNhQ5JgvX76Ut1occsKFN+TgKEe8vLzw8OFDtGjRAl27dkVeXh6CgoJw8+ZNuLi4SJV7/fo1wsLC4Obmhp49e8LY2Bhfv37F4cOHERYWhp9++kntug4ePBjW1tYwMTGBiYkJBgwYgKpVqzK/ra2tmZt4WdC8eXNcvnwZ9vb22Lt3L44dOwZXV1fcvn0bLVu2VEsZ9vb2mD59Oq5cuYKff/4ZADBmzBhmf3x8vFrK+d6QVS9xcXHQ1dWtKPXk5kdrX3t7e8yaNUskTd3tUlxczGxnzpxBvXr1cOrUKeTk5CAnJwenTp1C/fr1ERUVpfQ5lGXfatGiBSZPnoz58+fj6tWr6NSpEwDg4cOHsLOzq1Q6FxcX448//kDz5s3x008/Yfr06fj8+TMcHBwQFBSktkmGPOdQma8FwSQJgMRJEkclp6I/qXBwcLATGBhIxsbG1LdvXzp+/Dhjw6qpqcn4uOdQjvj4eNLS0mI+i/fp00dkv42NzXdlWqMo0sqRVS+2trbk7e1dZnqpix+tfUufT48ePUT2q7tdatWqJbKwWsCFCxfI3d1dqTzLum89f/6cOnXqRHXq1KF//vmHSZ84cSKNHz++Uuk8b9484vP51KFDB+ratSvp6upScHCwUjrKorJeC/Lg4OBA1tbWlJiYSF26dCHg/+ILCcrlTKcqL9xEg4OjHGjbti2r15E3b96Qk5OTxH0aGho0adIkZhG5gP/SROPz589lFjfk8+fPtGfPHrp+/brYvoiIiO/qQVRR2Mphq5c9e/aI9cfKyo/Wvm/fvpUqq+520dXVlehoIjk5WeEHu8LCQrp58yZlZ2dXir61ePFiev/+vdzHl4XOrq6utH79eub32bNnSVtbm4qKihTOSx4q47UgD9ImScLl1q1bV+3lCuAmGqrBTTQ4OMoBHo9HGhoaNGvWLIn72RZWX758mYYPH05GRkbUqFEjWr16Nb158+aHn2jk5eUpHS2XqOTmcOLECVq3bh2tXLlSZJNGamoqZWRkiOQhfIM5cuQI1apVi/T09Bg99PT0qFatWmKLY8vjQfTmzZs0atQomjNnjljE2szMTGrTpo1ayildL+rk3r17dOrUKYUWGl+/fl3EI9nhw4epa9eu9Ntvv7F6kWFrXysrKxo5cqTEIJGSqKiJhrDsjRs35GqXoqIievDgAcXHx1NcXJzIxkbLli2pffv29Pr1aybt9evX1KFDB2rVqhWr7IQJE5gvCoWFhdS8eXPi8XhkYGAgEqVaUt/Kz8+nvLw85vezZ89oxYoVdPr0aZnnKi9GRkYiXvQk8eHDBzp06JCYm21JOivjVldbW5vS09NF0nR0dBS61pR15ytrrCvNhw8fKDo6WuJLHkX7szI6S5okCZcrcBtfGkXGbGlwEw3V4CYaHBzlAI/Ho7///puMjY2pW7duYoOVPB6ccnNzadOmTdS8eXPS0tJiPJJ8/PixLFWvMFSJlnvjxg2ytbVlIphbWVkxDzmlvxw9e/aMvLy8RAJH8fl8atKkCT179oxJmzFjBgEgQ0ND8vHxoT59+lCfPn3Ix8eHjIyMCAAtWLCAybesH0S3bt0qorOWlhYdPnyY2X/nzh2ZnnDYymGrlzdv3ih0PpJ4/Pgx1alThwk4KQjUJc9EsmHDhrR//34mH11dXerbty+5urrShAkT5D4P4fYV3jw9PSkyMpJVB3W27549e8jZ2Zk0NTWZdB0dHWrRooXYQ+e9e/fE9GVrl8uXL5OTk5NIHQvXNRtpaWnk5eVF2tra5OLiQi4uLqStrU21atVigspJo1q1apSUlERERIcOHaKqVavSgwcPaMaMGdSgQQPWvtW+fXvGnez79+/JxsaG7OzsSFdXl/766y9Fqloqpd11ExH17NmTVq9eTUQlkx03NzfS0tIiTU1NWrduHavOpd3q6ujoyHSry+fzRTz7CfQS9u4nC0XKlfdaGDRoEOPl6f379+Tm5ibS3zw8PEQmHIpeC8rUlTCCSZKscufOnavQmC0NbqKhGtxEg4OjHBDEpLh//z65ubmRl5eXSjEpUlNTKTQ0lGxtbUlXV5c6d+5cFmpXKKpEy/Xx8aFffvmFioqKmAeK9PR0atWqlYgJ26NHj5hP8u7u7tStWzfq1q0bubu7EwDS09MTuSEL+3KXVKawOUlZTzTMzc3Jzc2NCgoK6OXLl1SrVi3i8Xi0c+dOIlJtoiGrXvT19en9+/e0efNmCgoKUujcBAQGBlLXrl3pzZs3ZGhoSPfv36f4+Hhq1KgRXbhwgVXW2NiYHj16REREYWFh1KFDByIiunjxItnZ2cl9HsLtC4COHDlC3bp1I11dXcbuu0ePHhIf/NTVvrNnzyYAVK1aNXJyciIAVLt2bWrcuDHzkCsInCl8PkBJ7ABZ7VK3bl3q2bMn3b9/n96/f085OTkimyyKi4vp9OnTzNfAM2fOUHFxsUw54Tfzv/zyCzMBFHbPK61vmZub0/z58ykoKIg2btxIderUoaKiItq7d6/Sa0NKI2miIRxQdceOHeTq6kp5eXnMAyubzgYGBhQeHk5BQUFyu9Xl8XjUsWNH6t69O7NpampShw4dRNLYkNedryLXAo/HY75GNWzYkDQ1NWnq1Kl04sQJ+u2330hLS4t++uknJm9FrwVlXBBLmySxlaurq6vQmC0NbqKhGtxEg4OjHBAOfpeTk0MBAQFkbm5OZ8+eJSLlY1IUFhbSoUOHfsiJhirRck1MTCg1NZX5X2D6kJiYSDVr1mSOq1evHuno6Ei1Q9fR0RF5ED158qTUMk+ePCnyYF/WEw0ej0dRUVEiaX5+fsTj8Wjr1q0qTTRk1Yuuri5Vq1aNANDw4cMVOjcBwpHnjY2NmfaKjo6mevXqscoaGRkxNvHt2rVjYg08f/5c5MFB0fa9e/cus3/z5s3MQxgAcnBwoKVLlzL71dW+gq8xAhYvXkza2tpEVGI+aGZmRq6uriLnI6lcae2ir68v8+tDWVC9enU6ffo0FRYWkr29PR0/fpyIiGrWrEkAWPuW4GFy+PDh1LNnT5ozZw4REaWnpysUrJMNSRMNXV1dxpRp4MCBNG3aNCIi8vT0VEjn5s2bM18Enj59KlXnIUOGyLWxYWZmxpjQspWr6LVw6dIlIiLS0tKi+fPnixy/atUq0tDQYH4rei3Iq7MAaZOkGjVqMOW+ePFC7MWHomO2NLiJhmpwEw0OjnKgdJTt4uJimjZtGmlpadHy5cvLPPjd94gq0XItLS2ZB1E3NzfmgTwlJYX09fWZ4zQ0NFg/nc+cOZO5wWhra1OXLl2kHtulSxfmAZGofCYa+/btE0vv1KkT8Xg8mjp1qtITDVn1Mn/+fAJKIlMri6mpKfOlwNnZmc6fP09EJQ8Vsh4m27RpQ4MGDaKIiAjS0tJiHqRjY2PJwcFB7vMQbt/SEw0Bb968oWHDhpGxsXGZTCQBiNirFxUVEQC6efMmERGtXr2aeDwecz6CLyCSypXULm3atKFTp04ppJ8wsbGxFBgYyJhOde7cWeYXJ6KSN9UmJibk7u5O1atXpy9fvhBRSb+1t7eXKic4B1dXV0pPTydjY2PmoffatWtKB90rjaSJhpubG+3Zs4dyc3PJysqKoqOjiajExEl43JCms5mZGc2bN4+0tLToxYsXRER0+vRpcnNzU4vOkujcuTP5+fnJLFeRa0FDQ4OWLVtGRCXnvm3bNpFjjx07ptK1IK/OAqRNkoTLrVq1qtiLD0XHbGlwEw3V4CYaHBzlAJ/PF5loCNi1axcZGBhQYGAgN9EohSrRctu3b087duwgIqLhw4dTo0aNaPv27eTn50eNGjVijgNAV69elZpPXFwcc4MZN24cASAbGxsKCgqikJAQCgkJoaCgILK1tSUA9OuvvzKyZT3RELg8lkRAQAAjr0w5surl6tWrcr0JZKNFixZ06NAhIiLq27cv+fv708WLF2nQoEFUq1YtVtnk5GTy8vIiY2Nj5m03EdG4ceNE6kSR9pU20RBG+AuSutpXU1NT5AHw3LlzBIBZ3C/QUXA+wjqXLldSuxw8eJA8PT1py5YtdO3aNUpOThbZ2IiMjCRNTU3q1asXYzrVs2dP0tLSYq4vNvbt20fLly8XWWcCgJYsWSJVRnAOgnVo7dq1Y/YtWrSI/P39ZZYrD5ImGmvXriVNTU0yNTWlunXrMt6fAFCDBg1k6qxut7ryIK87X0WuhcaNG5OhoSE9e/aMmjRpQjY2NvTq1SsiKpl429vbk4WFBSOr6LWgqAtiaZOk0hP20i8+Jk2apNCYLQ1uoqEa3ESDg6McKP1FQ5ibN2+Sg4MDN9GQwbNnz+jAgQMyH46IiJKSkpg35JmZmeTn50dGRkZUv359Ee8kfD6f1q5dKzWfpUuXitxg1q9fT/b29qShoSHy9s/e3p75/C+grCcagwYNkuoSmYjI39+fNDU1lSpHVr2sXr1a5f4aFRXFrJdJS0ujmjVrEo/HI0tLS+ZNsqJ8/vyZvn37xvxWpH1NTEzo2bNncpelrvZt1aoVaWhoUN++fSk4OJh0dHSoSpUqzLFTp04lHR0d5nyWL18utVxJ7VJ6Abjw4ntZbeju7k7Lly8XS1+2bJnSayXk7VuvXr2iGzduiLh6vXLlCqWkpChVbmkCAgLo33//FUtPSkqigwcPinhx4/F4NHnyZJk6V2YUuRZev35Ntra2xOPxyNzcnEkXmC9paGiobdItD9ImSaUnGpJQZMyWBjfRUA0eERE4ODjKlLi4ODRv3hyampoS97979w4nTpwo00jbHOLUqFEDWVlZePHiBQwNDUX2ffz4Efb29vj48SMAIDc3FwYGBnLnnZeXx+RZnrKKIK0cWfVSvXp1WFtb4+HDh2rVJzs7G2ZmZuDxeGrJ73to37dv36Jjx464du0aiAjVq1fH6dOnUbNmTQDAli1bkJubi/Hjx6NGjRrIzMyUqLO0dnn+/DmrLg4ODlL36ejo4N69e3B1dRVJf/ToEby8vPDlyxeZ5xkXF4f09HR8+/YNALBgwQJ8+vQJb968kdm3Hj16hMePH6NVq1bQ09MDEcnVN4qKinD48GGkpKQAAGrVqoUuXbpAQ0NDpqwk5LkezMzMEBcXJzWP6tWrK1W2LNLT01n3C8pV5lpYsGAB9uzZg9evX4OIYGpqimbNmmHp0qWwtrZm5BW9FuTVWYCGhgZWr14tEsm8dLl8Ph9FRUWs+SpLeY3HPyrcRIODg6PSkpSUhJiYGGRlZaG4uFhk3/Lly9WSf5MmTcDj8dChQwd4e3uDiHDjxg2cO3cOxcXFEAyR0m4ww4cPx6xZs8RujhU10ZCmjyLlyFMvCQkJaNq0qdx6qRM+n8/6wCl44PjR2ldwPoJrITQ0FJqammXWLq6urggNDcXIkSNF0tevX49ly5YhLS1NquzNmzfRsWNH5OfnIy8vD+bm5nj79i10dXXx+fNnaGhoSG2TkydPYsmSJYiJiQGPx0NaWhqcnZ0xdOhQmJmZYdmyZVLLffToETp16oQXL14wk7UHDx7A3t4eJ06cgIuLi1TZoUOHSkx/+/Ytjh07xqozALn6pLopz2tBGor2Z3l1FiBtkiRcrouLCx49eiS3zorATTRUg5tocHBwVEoWLVqEGTNmoGbNmrCxsRG5MfF4PJw/f16qbGZmJn799VdER0cjKysLpYc54RvZhQsX8PPPP+Pt27cix1hYWGDr1q3o3LkzAOk3GB6Ph2PHjiEwMFAkvaImGtL0UbQctnrZs2cPfH195dZJQFBQkNzHHjx4UOq+I0eOiPwuKCjAzZs3sW3bNsydOxfDhg1j9n2v7SttgnP69Gn4+/uLHc/WLo8fP8aff/7JvOH39PTEhAkTWB+6AWDdunWYOHEihg4dimbNmgEAEhISsHXrVqxcuVJsAiJM69atUaNGDaxfvx4mJiZITk6GlpYWBgwYgPbt22PlypVS+9a2bduQlZWFf/75Bx4eHkhOToazszNOnz6NyZMn4969e1LL7dixI4gIO3bsgLm5OYCSL8YDBgwAn8/HiRMnpMp2795d5HdBQQHu3r2LnJwc1KlTBykpKVJ1trS0FJO9efMmli9fjoULFyrU9xUhOTlZ7nJVuRbOnj2LW7duoX79+mJ9TNFrQRGdAemTpKSkJJw7dw4AEB0djbZt24rI8Xg8uLm5YcqUKax9VRbcRENFytVQi4ODg0NOrK2tacuWLUrJ+vv7k6enJ/3111906NAhOnz4sMgmiSdPntDmzZtp8+bNTIwGYdtcSbbuwj7dBb8FlIfXKUX0UbYcSfWiLMIuOwcPHkzGxsZkb2/PxAuoXr06GRsbyxW0SxI7duyQ6mXme2tfAHTs2DFW2XXr1slsl6ioKNLW1qZGjRrRpEmTaNKkSdSoUSPS0dGhM2fOyNT14MGD1Lx5czI3Nydzc3Nq3ry51GtIGHlcTEvrW8LxLIQXbT9+/Fima2t9fX2RqPECbt26JVNWEkVFRTRixAj6448/WHWWxvHjx8nHx0fhclWFrVxZ14Kvry+Fh4czx5qZmYmshbC0tBRZz6SuNQxsOsfFxZGlpaWIHsKbpHIBMG57tbW1KTAwUCzKuzxwazRUQ7LBOAcHB0cFw+fz0bx5c6VkL168iPj4eNSrV09uGScnJzg5OUndT0SwtrZGly5dRNI2bdqE9u3bs9q6lwXlpY+selGELVu2MP9PmzYNvXr1wvr16xnb+aKiIowZMwbGxsZK5d+kSROMGDFC4r7K2r5GRkZS93Xu3Jn5klfadBAABg4cKPPt6vTp0zFp0iSEhYWJpU+bNg3t27dnle/evbvYm3550NLSAp/PBwBYW1sjPT0dHh4eMDExQUZGBgDpbZKXlwd9fX2x9OzsbOjo6LCWq6Ojg0+fPoml5+bmQltbW+Hz4PP5mDx5Mlq3bo2pU6cqfD3UrFkTSUlJCperKmzlyjqH2NhY5qtgQEAAvnz5gp07dyIgIABnzpzBsGHD0KFDBzx48KDcdG7VqhXevHmDp0+fIjY2FgDQsGFD1KlThzXP69ev4969e1iwYAFOnDiB48ePo2rVqhg5ciRmzJjB9FGOMqQiZzkcHBwc0vjjjz+YaMKK4uHhQTdu3FBZB+E3WceOHSMDAwNydnZmXD0Slbw1O3LkCKtsWbzxPnfunEL6KFtOWWFpacm88RYmNTWVzM3NFc4vPz+fJkyYQDVq1JBbpjK0LwCytram4cOHM9uwYcMIALVv355JU7ZcHR0dJqaMMA8ePGC8WUnDycmJ3r59K5b+/v17Vo9nRPK7mJZEQEAAzZgxg4hKvmg8efKEioqKqGfPnkwUaWkMHDiQatWqRYmJiVRcXEzFxcV0+fJl8vLyosGDB7PKSuPEiRNkaWnJesyHDx9EtpycHEpJSaHevXtT3bp1lSpXHtRVbuk+efHiRSIi0tTUpFWrVokcGxkZKeJlS9E+WRY6S/uiIeyy+sOHDzRu3DjmC42GhgZr5HBlz49DFO6LBgcHR6Xk119/RadOneDi4gJPT09oaWmJ7Gez4f/zzz8xffp0bNiwAY6OjmrRp02bNnj79i18fHxgb2+PVatWYfTo0WrJWxl8fX0rlT6KUlhYiNTUVGbBroDU1FSJb++FKe2Ziojw6dMn6OvrY/v27UrpU1Hte+zYMfTp0wfnz59HQkICbG1tAQCbNm3CuHHjRL6wKIOVlRVu3boFNzc3kfRbt26JeA6SxLNnzyQuYv769StevnzJKrto0SLmy8LChQsxaNAgjB49Gm5ubti8eTOrbHh4OHx9fXHt2jV8+/YNU6dOxb1795CdnY2EhARW2VWrVmHw4MFo2rQpM2YUFhaiS5cuWLlyJavs5MmTRX4TEV69eoUTJ05g8ODBrLKmpqZiC5yJCPb29ti9ezerrCqURblaWlo4e/Ys80W59JcgLS0tmdcoGxVVV8bGxli9ejVWr16Nixcv4rfffsOlS5fKrDyOEriJBgcHR6UkJCQEMTExaNOmDSwsLBRyedq7d2/k5+fDxcUF+vr6YpOU7OxspXTS1dXFlStXsGzZMowfPx6RkZFK5aMuKps+ihAcHIxhw4bh8ePHaNSoEQDgypUrCAsLQ3BwMKvsn3/+KfKbz+fDysoKjRs3hpmZmdI6VUR9lvUE55dffsGIESPw5MkTkQXdf/zxh9iDtYCjR48y/58+fRomJibM76KiIkRHR8ucwDds2JD539raGlFRUXLr7OXlhYcPH2LNmjUwMjJCbm4ugoKCMHbsWFSpUoVV1tTUFEeOHEFaWhpSU1MBAB4eHmIueiVx8+ZNkd+CfrVs2TKpHqkExMTESJR1dXWV6tZcHZRFub6+vli8eDFatmyJjh074tdff4Wbmxvatm2LCxcuYNSoUahWrVql0llRWrRogfj4eJUmTBxyUqHfUzg4ODikYGhoSMePH1dKduvWraybvLB9Mn/48CFVqVKFeDwenTx5UiFZVcqVhix91FWOuigqKqI//viDqlatyiy0rlq1Kv3xxx9UWFhYLjpUtvZdunQpaWhoUNOmTdVmslVcXEzLly+natWqMfVcrVo1+vPPP6m4uFiiTOnAfsKbtrY21ahRQ+JCdUlkZWVRfHw8xcfH05s3b+SSef78uVTdnj9/LlceHIpRul/VqVOHWUQtSBds+vr6IoFTK2ockVVu69at5e5zqpTDwQ7n3paDg6NS4uDggNOnT8Pd3b3CdKgoF7UVHbCvvBEEClNkEXhOTg42bdokEpRt6NChIm/fZVEZ2zctLQ0+Pj54/fo1Tpw4gYCAALWVKzBlYluALoyTkxOSkpLEXLfKQ15eHvNVSGB+paGhgUGDBmH16tUSF3sL0NDQwKtXr8RMu969ewdra2sxc67Jkydj/vz5MDAwkPqVRgBb/J2nT5+isLBQzMwsLS0NWlpaYl9xhL/8yEJVEzg20tLSpMYbmjVrllx5SOpXx48fx7p16/Ds2TMUFxfDxsYG/v7+mDp1qsgiamX65IMHD7B69Wrm+vXw8MC4ceMUGu//a+Pk9wpnOsXBwVEpmTNnDmbPno0tW7awPpTI4suXL0xUYgHKejX69u0bLl26hBYtWkBTUxMfP37E7NmzUVRUhBEjRsDLy0tpPX8EfZRF0fa4du0a/Pz8oKenx5hdCXzwnzlzBvXr11dKj8pQn25ubvj333/Vnu+bN28YL0Hu7u5yTR6ePn0qlpaTkwNTU1OZspMnT0ZcXByOHj3K2PpfvHgRISEhmDJlCtatWydVlqREAM/NzYWurq5Y+s2bN1FQUMD8Lw1Z5pdDhgzB0KFDxSYaV65cwT///MN4OxLQrVs31vyEyy2rgH0bN27E6NGjYWlpCVtbW7F4Q/JONCQRGBgoVzweRTlw4AD69OmDhg0bMsElExMTUbt2bezevRs///yz2sqqDNf0f54K/qLCwcHBIZF69eqRkZERGRoakpeXF3l7e4tsbOTm5tLYsWPJysqK+Hy+2CYvwp/MBZ5W8P99sycmJjI+2vH/4ywIm2WVtenUvn37FNJH2XLUibe3N2VnZxNRSfuWblN527dFixY0ZMgQKigoYNIKCgpo8ODBcnmREVBZ2vfr168UExPDnM+HDx9o4sSJNH78eLpz5w6rrDxlBQcHk4aGBmP+pKmpSUOHDqW8vDxW2bCwMNq9ezfzu0ePHoyJmyDOhTQsLCwoJiZGLP38+fNSPTgJ4nzw+XwaOXIk83vSpEkUEhJCjRs3pmbNmsk8Z2UxMjKitLQ0sfS0tDQyMTEps3JVoXr16hQWFqZyPuXZJ52dnWnmzJli6bNmzSJnZ2eldS6NOsZIecrhYIebaHBwcFRK5syZw7qxMWbMGPLw8KD9+/eTnp4ebd68mebPn092dna0fft2uXUQvsFYWFhQtWrV6ODBg1SvXj3S1tYmOzs7ysvLo8+fP5OTk5OIW9aynmgoqo+y5aiTOXPmMA+3qrSvrq4upaSkiKXfu3eP9PT05NanMrRvWU9wRowYQc7OznTy5EnGneiJEyfIxcWFRo0axSrr6OhICQkJRER05swZMjU1pdOnT9OwYcOoffv2rLJ6enoSg6PdvXuX9PX1Jcq0bt2aWrduTTwej5o1a8b8bt26NXXo0IFGjBgh0VWvujA2NpboFvvatWtkaGhYZuWqgpGRERPQUBXKs0/q6elJnNA9fPhQ6etXUrnqGCPlKYeDHW6iwcHBUekoKCiguXPnUkZGhlLy9vb2zNtU4beUERERFBAQIHc+pSNHCxbAvnv3jgDQ5s2bmWMPHz5c7pHBFdFH2XIqI9bW1nT69Gmx9KioKLK2tpY7n8rQvmU9wVHmy4IAXV1dSk9PJyKikJAQGjFiBBGVxOAwNTVllW3bti317NmTPn/+zKTl5+dTz549ydfXl1V2yJAh9OHDB9ZjhBFElpdnYyMwMJB69uwp4oygsLCQfv75Z/L39xc7fuXKlcz5rVy5knUrK4YOHUrr1q1TOZ/y7JMBAQEi15aAzZs3U4cOHZTSWVK56hgj5SmHgx1ujQYHB0elQ1NTE0uWLMGgQYOUks/OzoazszOAEvt/gTvbFi1aqOQ6VBCVWGAnLuxfvrQL3fKgsumjCBkZGeDxeLCzswMAXL16FTt37oSnp6fU6N4CevfujWHDhmHp0qUiLltDQ0PRt29fpXWqiPrMzs7G0aNHERgYCB8fH1hYWGDevHnMuqQVK1YoFZlbQH5+PmxsbMTSra2tkZ+fzyprZmaGjIwM2NvbIyoqCgsWLABQsoZC1pqDlStXws/PD3Z2dqhbty4AIDk5Gbq6ujh9+jSrrHAEeXlQxAEAG3/88QdatWqFmjVromXLlgCA+Ph4fPz4EefPnxc7fsWKFejfvz90dXWxYsUKqfnyeDyEhISoRUegJFaIAFdXV8ycOZNZ41C6nypTbln0SeGF8126dMG0adNw/fp1NGnSBEDJGo19+/Zh7ty5CuvLxvc8Rv4wVPRMh4ODg0MSXbp0UcgVrTC1a9em2NhYIiLy9fWlKVOmEFHJW8dq1arJnY/wmyxTU1OqUaMGJSUlUZs2bUhLS4vc3NyYY728vMjY2FiibFl80TAzM1NIH2XLKStatGhBERERRET06tUrMjIyoqZNm5KlpSXNnTuXVfbr168UEhJC2trazLobHR0dmjhxIn358kVuHSpD+/J4PDpz5gwREeXl5REAEfO+EydOqPQlRZUvC2PHjiUHBwdq164dWVhY0KdPn4iIaNeuXTLX0QjO5++//6bJkyfT5MmTaePGjZSfny9TLjc3l2bMmEFNmzYlFxcXcnJyEtnKkpcvX9Jvv/1GHTt2pJ9//pnmzp1L7969K9MyFcXR0VGuTZG6Kus+WdpNsrRN2TV0kspVxxgp7/lxSIebaHBwcFRK1q1bR7a2tjRlyhTauXMnHTlyRGRjY/ny5Yy5wtmzZ0lXV5d0dHSIz+fTn3/+KbcOwjeY9evXE4/HY27Ehw8fJgMDA+ZBFwCFh4dLlC2LicbWrVsV0kfZcsoKU1NTSk1NJaKSCaBgke/p06flfkDKy8uj27dv0+3bt2UubJZEZWjfsp7g3Llzh6pWrUoWFhbUtm1batu2LWMac/fuXVbZb9++0ZIlSygkJERk7cLy5ctp48aNCp2zIvTp04eqVKlCU6dOpRUrVtCff/4pslV2iouLpcYBqaxU1KRbXTpLKlcdY6Q85XCww8XR4ODgqJQI+2kvjaLuIp8/f47r16/D1dUVderUkVuutP/0vLw8nDlzBu3atYOtrS1ycnIwceJE5OXlYejQoSIxD8ojRkNWVpbc+qhSTllgaGiIu3fvwtHREV26dEHz5s0xbdo0pKeno2bNmvj8+XOZ61AZ2nf9+vUYPXo049L10KFD6N+/P3P+xcXFCA8PR2hoqNLl5ufnY8eOHSKRsvv37w89PT25dVYGZeM7mJqa4sSJE4xbXFnUr18f0dHRMDMzg7e3N6sb2xs3bkjdd+HCBdZyWrVqxbo/IiICS5YsQVpaGgCgRo0aCA0NxcCBA1nlVGHevHn49ddfxVyAf/78GUuWLFEqjkZ59El1IE+5qo6R8pbDIR1uosHBwcEhhcoY0E2dVOQNtHHjxmjTpg06deqEDh06IDExEXXr1kViYiJ69OiBFy9eSJXNy8tDWFgYoqOjJT7EPnnyRC4dKkv7ltcERx6OHj2KgIAAaGlpyQxIxxaETlZ8B7YHficnJ5w8eRIeHh5y6Tx37lyEhoZCX19fpo3/7Nmzpe6T9HJDWG+2lxvLly/HzJkzMW7cOJG4IWvXrsWCBQswadIkWaehFIoGN5RGeffJuLg4LF26lAnY5+npidDQUGZtjDI6/4jj5I8AN9Hg4OD4IVi1ahVGjBgBXV1dkcWSkpB3gaQiN5isrCzs2bMH48ePV1hWlXLl1aesylGW2NhYdO/eHR8/fsTgwYOxefNmAMD//vc/pKam4uDBg1Jl+/bti7i4OAwcOBBVqlQRe4M9YcIEuXT4HttXUdnFixfDxsYGQ4cOFUnfvHkz3rx5g2nTpomk8/l8vH79GtbW1ip9VXRwcMCYMWPE8peH7du348iRI9i2bZtKwToV5cOHDyK/CwoKcPPmTcycORMLFy6Er6+vVFknJyfMnTtXzIHFtm3bMGfOHInBD9UBn89HZmYmrKysRNLPnz+P3r17482bN3LlU559cvv27QgODkZQUBAzKUtISMChQ4ewdetW9OvXr8x1BuQbI9VRzn+eirPa4uDg4GAnNzeXTpw4QevWrZPpLtLR0ZHevn3L/K+OBZIfPnxgbHNPnjwp4vayNHv27CHhIVURWVXKlVcfSWRnZzPlhIWF0devXxUuRxUKCwuZAH4Cnj59SpmZmaxyJiYmdPHiRZXL/x7aNzMzk1atWqV0uQ4ODkwsDGESExPJ0dFRbp0VRZX4DqoE6xSQlJREERERFBERQdeuXVNKDwGxsbFUv3591mN0dHSkxobQ0dFRqXxJmJqakpmZGfH5fOZ/wWZsbEx8Pp/GjBkjd37l2Sfd3d1p+fLlYunLli0jd3f3MtFZEvKMkUQVP05+73ATDQ4OjkrJjRs3yNbWloyNjUlDQ4OsrKyIx+ORgYFBmXueISI6cOAAVa1albnBACA7Ozs6cOCAxOOFb1qKyqpSrjRk3URDQ0OZBZGCTUNDg0JDQxUqR1ny8/NFFnA/e/aMVqxYQVFRUTJlHR0dJQaDU4TvpX1VLVdHR4eePHkilv748WPWB+Bv375R27ZtlQ6Qp0p8B1WCOWZkZFCLFi2Ix+MxD948Ho+aN2+udFyelJQUMjAwYD2mVq1atHDhQrH0+fPnk5eXl1LlsrF161basmUL8Xg8WrlyJW3dupXZdu7cSZcuXZI7r/Luk9ra2lIjsMs7KVPHOCnPRKOix8kfAW6iwcHBUSnx8fGhX375hYqKisjQ0JAeP35M6enp1KpVK5k3kzt37kjdd+jQIZllHzhwgPFWIm0r7ZZRkC5NVnAcm+6KyMpyEymQlURoaCjruZXHTbR9+/bMg+j79+/JxsaG7OzsSFdXl/766y9W2cjISOrRo4dSnqaIvo/2FSB4GFK2XFdXV4qMjBRLj4iIkDlht7S0VGiiIfzFcdGiRWRpaUmDBw+mpUuXllsAOz8/P2rcuDHj0YyIKDU1lZo2bUp+fn6sssnJySLbrVu36NSpU+Tj40PNmzdnld2/fz9paGiQn58fzZs3j+bNm0d+fn6kqalJBw8eVMu5SSI2Npa+ffumtHxF9EkXFxdav369WPq6devI1dVVbTqrMkYSVY5x8keAW6PBwcFRKTE1NcWVK1dQs2ZNmJqa4vLly/Dw8MCVK1cwePBgxoOOJKpVq4aLFy/CyclJJP3AgQMYNGgQ8vLypMoWFRXB0dGRdTGygYEB+vTpI7I24PHjx4iJiYGdnZ1UWUGAuqdPn0JDQ0OhckvL8ng8NGjQAN7e3iLHERG+fPmCZ8+eISEhAbm5uSL7v337BktLS7EF1MLw+Xy8fftWJLiVIG9BkDdLS0tWG35ZWFpaIi4uDrVq1cI///yD1atX4+bNmzhw4ABmzZrFLBKVhLe3Nx4/fgwigqOjo1jgLbaFxpW1fYXzEEZwi1a23PDwcISHh2PJkiVo27YtACA6OhpTp07FlClT8Ntvv0nVZdKkSdDR0UFYWBirzgJKX2/S4PF4ci3Yv379OtMPatWqJdbXJaGnp4dLly6JHXv9+nW0bNmSNUghn88Hj8dD6ceiJk2aYPPmzXB3d2ct+8aNG1i+fDmjs4eHB6ZMmSKX3sqSnp7Our969epS91VUn1y3bh0mTpyIoUOHigTc3Lp1K1auXImRI0cqrbNwuZqamhLHSME5pKamIiEhAZ8+fRI7R2XHSXWOkT8KXGRwDg6OSomWlhYzSFtbWyM9PR0eHh4wMTFBRkYGq+zw4cPRrl07JCQkwNbWFgCwZ88eDB06FFu3bmWVjY+Pl3njzcvLw4ABA9C6dWsmbe/evYiJiWGVJSJkZGQgPj5eRFaeckvLGhkZoXr16ti4caPIcVlZWSKRoAWLGBWhuLgY5ubmrMdkZmaKebpRhPz8fBgZGQEAzpw5g6CgIPD5fDRp0gTPnz9nle3WrZvS5VbW9hUQEBCAqlWrMr8FExxlyw0NDcW7d+8wZswYfPv2DUBJlORp06axTjIAoLCwEJs3b8a5c+fQoEEDsUWwy5cvF/mtrgXPWVlZ6NOnD2JjY2FqagoAyMnJQZs2bbB7926xhc/C2Nvbo6CgQCy9qKhIpF4lUVp/Pp8PKysrJqq0NAoKCjBy5EjMnDkT27dvZz1W3Tg6OrK682VbsF9RfXL06NGwtbXFsmXLsHfvXgAlk7I9e/aga9eurLooMk5KGyMB0XFSMA4piqxxUtUx8keBm2hwcHBUSry9vZGUlAQ3Nzf4+Phg1qxZePv2LSIjI+Hl5cUqO3fuXGRnZ6Ndu3a4cOECoqKiMHz4cERGRuLnn39mlX316pVc+pU+zsHBATY2NsjMzFRYVplymzRpgvfv38slUxlxdXXF4cOH0b17d5w+fZpx/5mVlQVjY2NWWTYXpbKo7O07YMAA9O3bl/ktmODIg6QyeDwe/vjjD8ycORMpKSnQ09ODm5sbdHR0RI578eIFqlatKvIG9u7du6hfvz4A4OHDh2L5sqFKfIfx48fj06dPuHfvHuPi9v79+xg8eDBCQkKwa9cuqbJLlizB+PHjsXbtWjRs2BAAcO3aNUyYMAFLly5l1dnBwYF1vzS0tLRw4MABzJw5Uyl5Vbh586bIb4GnrOXLl2PhwoWsshXVJwGge/fu6N69u1x5yJOfpOO+9zHyh6H8rbU4ODg4ZJOUlETnz58nohIvJ35+fmRkZET169enW7duyZVHv379yM3NjfT19enw4cNyycTExLDa5Qq2mJiYSiMrzKdPn5hjMzMzKTc3V2QLCwuTq5ywsDAx2czMTGb/p0+f5KpPaezbt4+0tLSIz+dTu3btmPRFixaRv7+/Snmz8b21b2JiIlWrVk0tfYMNVbxESYLP50v0Hvb27Vvi8/msssbGxnT16lWx9CtXrpCJiQmrrKmpKWlraxOfzydtbW2R/4U9M5mZmUmUV8TTnTCDBg2S6Empojh+/Dj5+PiwHlPRffLr16+UkZFBz58/F9nKQufSlNU4qc4x8keBW6PBwcHxQyApuFhBQQEmTZqEDh06iAQXYws0JrABfvnypZitNiCfHX55ywojy+f7t2/foK+vz2pSoaGhgfz8fLE1Gur2J//69Wu8evUKdevWZd6kX716FcbGxmL28Obm5nj48CEsLS1hZmbG+kY9Oztb6r7vsX3V1TfYMDIyQnJyMpydnZWSL40q8R2MjIwQHx+PevXqiaTfvHkTPj4++Pjxo1TZbdu2ya3j4MGDxfLv2LEj8vPzkZeXB3Nzc7x9+xb6+vqwtrZmXVeyYMECLFu2DL6+vhLNzOSN3aMuHj16hLp168q1Hq28+2RaWhqGDh2KS5cuiaTT/49EzjY2VfZxkou5IYEKmd5wcHBwqBlZHkYEm6y3qUT/59VEmmcTgVeT8PBwMjU1JQMDA2rfvj2rrCJeieSRjYqKos2bN4vIh4eHk4mJCSOXm5srsRxlvank5ubKzFtR0tLSKCoqivLz84mIqLi4WOJxW7dupS9fvhAR0ZYtW0TceZbeZPE9tK86ZeVB4NmtNElJSRQaGkq9e/em7t27i2ySUEd8hy5dulCrVq3o5cuXTNqLFy/Ix8eHunXrptJ5sqGKpzt1xe5RlA8fPohsOTk5lJKSQr1796a6devKlK+IPtmsWTNq1aoVnTx5km7evEm3bt0S2dSls7Qx0tTUlPT19ctknCyLMfJ7h5tocHBwVEpev35NAwYMoCpVqpCGhgbx+XyRraw5cOAA2dnZidxYtLW1mZtYXFwcASALCwuqW7cuAWAegiTJ2tvbyx1nQR7ZKlWqUMuWLZnfAn3Mzc0ZucDAQKnlhIaGkoaGhkg5svzDq/Mm+vbtW2rbti0z+RM85AYHB9PkyZNVylseKlP7mpmZichKmuCoWq4sJE00du3aRVpaWhQYGEja2toUGBhINWrUIBMTExoyZIjEfNQR3yE9PZ3q1atHWlpa5OzsTM7OzqSlpUXe3t4KxcL4/Pmz2IM4GyYmJoxbXBMTEyZWS2JiItWsWVPucssTwfUjvPF4PKpevbrcsTTKu0/q6+tTSkqK8ictZ7nSxkgLCwuqXbu2XGOZouMkN9EQh5tocHBwVEr8/f3J09OT/vrrLzp06BAdPnxYZCsPCgsLKSYmhnbu3El8Pl8kAJmvry/p6uoyvwcPHizyW1g2JiZGoai18shqaGjQhg0bxPQRvtEJ6yOJr1+/0ooVK2jcuHG0YsUKmRFv1XkTHThwIPn5+VFGRobIQ25UVBR5enqyyp44cUJiYL/Tp0/TyZMn5dahMrSvubk5tWjRgtnHNsFRtVw2JE00ateuTWvWrBHZX1xcTL/88gvNmjWLNb/Y2FgqKCiQWe7ixYvp/fv3YunFxcV05swZWrVqFa1atYrOnj0r13nk5ubS2LFjycrKSuwBXNYLCuG4IW5ubkwfS0lJIX19fVbZuXPnSozrkp+fT3PnzpVLd2WIiYmh2NhYZrtw4QKlpKTIVffClGefbNiwIcXHxyt2ojJ0llSutDGSSLGxTJFxkptoiMNNNDg4OColhoaGdPPmTaXlY2NjKTAwkFxcXMjFxYU6d+5MFy5cUDo/AJSYmMj8NjMzE7kZR0dHU3lao0rTR/hGp2591HkTtbGxYcwkhB9yHz9+LDMKc+3atenEiRNi6adOnaI6deoopU9FtS/bwxCR+ASnrJC0GFxfX5+ePn1KRETm5uZ0+/ZtIiK6f/8+2drallm5qjBmzBjy8PCg/fv3k56eHm3evJnmz59PdnZ2tH37dlbZ9u3b044dO4iIaPjw4dSoUSPavn07+fn5UaNGjVhlVVn8XlZIM0OURVn0SeGvStHR0dS0aVOKiYmht2/fKvTVSRHYrumymhBwEw1xuEgiHBwclRJ7e3uJi/3kYfv27WjXrh309fUREhKCkJAQ6OnpwdfXFzt37lQqTz6fj/v37wMoiS/w/v17+Pr6MvvZAoGVBbL0qezk5eWJuT4FShZyl3a9Wpq0tDR4enqKpbu7u+PRo0dK6VNR7VtUVIS6desyv2/cuMG4ZQWAQYMG4cuXL2VStjCSrjUzMzN8+vQJQEkQzLt37wIoiWmhrvqQdo1HR0fjf//7H4YPH46hQ4eKbGwcO3YMf/31F37++WdoamqiZcuWmDFjBhYtWoQdO3awyi5atAhVqlQBACxcuBBmZmYYPXo03rx5g7///lvmeUhyUJCcnCwzJo0qDBkyROKC72fPnqFVq1ZK5VkWfdLU1BRmZmYwMzND+/btkZiYCF9fX1hbWzPpgmPUxfc+Rv4ocHE0ODg4KiV//vknpk+fjg0bNsDR0VEh2YULFyI8PJyJzQCUeH1Zvnw55s+fj379+imsj729PaZPnw5PT08sWrQIADBmzBhmf1xcnMzAXupElj4AylUfRWnZsiUiIiIwf/58ACXeYoqLixEeHo42bdqwypqYmODJkydi/eLRo0dKe3mpqPYVPAw1bty4Qiew9+/fFwto16pVK5w9exa1a9dGz549MWHCBJw/fx5nz54t0we2uXPnYt68eWjYsCGqVKkiM2aHMNnZ2YznLGNjY8YDWYsWLTB69GhWWeGHaWtra0RFRcksT+ABjcfjoUaNGiK6FhUVITc3F6NGjZJbf0VJTk5GnTp1sH37djRt2hRAieetkJAQJhK8opRFn5Q37oY6kWeM5CgHKvaDCgcHB8f/UdpLjcAHvqGhoVw+8AVoa2tTWlqaWHpaWhrp6OgopVt8fDxpaWkxn8X79Okjst/W1pa8vb2Vylud+gh/upfH64wiqNMs4M6dO2RtbU3+/v6kra1NPXr0IA8PD7KxsaFHjx6xyo4YMYJq164tclxaWhrVqVOHhg0bppQ+FdW+Dg4OZG1tTYmJidSlSxcCIGKC8+uvv6psOqWo5ygB7969Yzw/FRUV0eLFi6lz5840efJkys7OVkknAZLWhtja2lJERIRS+dWuXZtiY2OJqMTkZ8qUKUREtHLlSqpWrZpqykpAHYvfVeHbt2/066+/kra2Nv3222/Us2dPMjQ0pL///lvpPMujT5YHbNc0ZzpVfnBfNDg4OCoNf/75p1rysbe3R3R0NFxdXUXSz507B3t7e6XybNGiBT5+/IijR4/C1dWViZgsYOXKlfD29lZaZ3XrAygWU6C88fLywsOHD7FmzRoYGRkhNzcXQUFBGDt2LGO+Io3w8HD4+/vD3d0ddnZ2AEoiW7ds2VJm9GdpVFT7bt++HW3btkWTJk0AAH369IG1tbXIfkF0bGXYvXs3Bg0aBD8/P5w5cwYdOnTAw4cPkZmZKTMys7DJD5/Px/Tp0yUeFxYWhlGjRsHU1FRpPYX59u0bmjVrppRscHAwkpOT4ePjg+nTp6Nz585Ys2YNCgoKsHz5crHjvb295f5icuPGDbE0QSwOJycnNG/eHJqa7I9V6q4rLS0tLFmyBPr6+pg/fz40NTURFxfHfN1QhrLukwDw/v17bNq0CSkpKQAAT09PBAcHs5qZFRUVISEhAXXq1JGr/uQZIznKHi5gHwcHxw/HunXrMHHiRAwdOpR5YElISMDWrVuxcuVKjBw5UqpsVFQUDA0N0aJFCwDA2rVrsXHjRnh6emLt2rWMDfGDBw9gYGDAPOiqyrZt22BpaYlOnToBAKZOnYq///4bnp6e2LVrFxwcHFjlBfqYmZmxBowKCwvDqVOn0KVLF0yZMgWrV6/GvHnzUFhYiO7du2Pz5s1Sy1BXMKqCggL4+/tj/fr1cHNzUyoPIsLZs2eRnJwMPT091KlTR6pN+u3bt+Hl5QU+n4/bt2+z5lunTh0A6m9foMROPDY2Fo8fP0a/fv1gZGSEf//9F9ra2jh//rzEh6G9e/fC29tb6XqqU6cORo4cibFjxzJB+ZycnDBy5EhUqVIFc+fOVfm8jI2NcevWLaWC/UkKFDht2jQYGhpi5syZKuv2/PlzXL9+Ha6urkzbCqPI+c+ePVtlfVSpK0kUFBRg+vTpWLt2LaZMmYKLFy/i4cOH2LRpEzp27MgqyzbmbNmyBcnJyax90srKClevXkVWVhaKi4tFjhk0aJDUci9cuIDOnTvDxMSEMVe7fv06cnJycOzYMda1Jbq6ukhJSYGTkxPruUlC+Jouq8B6XMA+CVTwFxUODg4OEYqKiigsLIyaNWtGDRs2pGnTpjHB3BTh4MGD1Lx5czI3Nydzc3Nq3ry5XG5xvby8GI9Gt2/fJh0dHfrtt9+oSZMm1KNHD/Ly8hIJFMXn86lJkyb05s0bIiLat28f9ezZkxo3bkze3t4iGxs1atSg6OhoIiK6dOkS6evr04YNG6hz585STVyePXsmUR9I+XQ/atQoAkB6enoEgIYNG0Y8Ho9q1qxJbm5uBIA1hoU6zQKEXYmWNTwejzH9EMQdKB3EUfC3dH0CoIYNG9KbN2+oXr16Ym0qb/s+e/aM3N3dSV9fnzQ0NBhzoZCQEBo5ciRzXGpqqlisiMLCQlqyZAn99NNPZGNjo5AZYXl4jpIW7E8eAgIC6N9//6VJkyYx24QJE8jU1JRatWpF48aNE9k3adIkifmoa9woa1SpK0nUqVOHXF1d6fLly0RU4mkqLCyMdHR0aPTo0ayy8o45kvrk0aNHycjIiHg8HpmYmJCpqSmzyeqTXl5e9Msvv4i4oy0sLKQRI0aQl5cXq2yDBg3o3LlzrMcII22MbNSokdJjWXR0NJmamkrcx5lOicOZTnFwcFQqFi5ciDlz5qBdu3bQ09PDypUrkZWVxfqmXRLdu3eXaRoiiadPnzIejQ4cOIDAwEAsWrQIR44cQbdu3QCUeDdyd3cHAKSmpiIxMREODg6YNWsWZs+ejWrVquHFixcIDg7G48ePkZSUhLFjx7KWm5GRwZh6HT58GD///DNGjBiB5s2bo3Xr1mLHP378GB4eHigoKBDR5/79+3j48CGAEu9Ae/fuxfHjx3HgwAFs27YNQUFBOHDgAJYsWYKpU6eia9euOHz4MACgc+fO2LhxI5YtW6ZwvSnKgAEDsGnTJoSFhcl1/KpVq+TOOyQkROT306dPYWVlxfwviefPn8PX1xd3794Vqc+LFy/i2rVrcHBwQEhICFJSUvDw4UP07t1bbn0AYMKECWjYsCGSk5NhYWHBpHfv3h3BwcGoXbs27t27x3hh4vP5aNSoEY4dO4ZVq1bhn3/+wZQpUzBjxgz8/vvvePbsGQ4fPoxZs2axlivJc1Tt2rXV6jlKGkVFRTh8+DBjHlOrVi106dIFGhoazDEnT54EANy8eVNEtl69egDAeLoSIM3MSV3jxvdGw4YNsWrVKubNOY/Hw7Rp09ChQwcMHDiQVZZtzGnVqhVrn5wyZQqGDh2KRYsWSfQex8ajR4+wf/9+kX6goaGByZMnIyIiglV2wYIF+PXXXzF//nw0aNBA7IuBsbEx87+0MTI1NRVXr15ljouMjMTZs2dx4MABufR/+/YtcnJy5DqWA9wXDQ4OjsqFq6srrV+/nvl99uxZ0tbWpqKiIoXzunbtGkVGRlJkZCTduHFDLhkzMzO6d+8eERE1b96c8Sfv4eFBAOjOnTtiMsnJyaSrq0uampoEgIYPHy7y5nLmzJk0duxY1nKtrKwYHevVq8cshn306JHEuBL16tUjHR0dMX2E36hVrVqV0YeoxK98XFwccywA2rdvH/P7xIkTxOPxpOqozrd148aNI2NjY2rQoAGNGDFC5ltrR0dHuTYnJyepZX779o2Cg4PpyZMnYvuk1SfR/7VvtWrVROpTEczNzZmo08J9IzY2lqlTd3d36tatG3Xr1o3c3d0JAOnr65OjoyNNmDCBgoKCyNDQkFkEv3LlSurbty9ruX379qVly5YREdG8efPIysqKhg8fTg4ODjIXg8uLpLf0aWlpVKNGDdLX12e++Ojr61PNmjVlLvZXBnWMG6WdUQg2c3Nzqlq1KrVq1Yo2b96skp7q/qLBxpcvX5j/JQVGlDbmCGLGsPVJfX19CgsLo6CgIIX1atasGR06dEgs/dChQ9S4cWNW2dJfIoWjoZeOV8J2TScmJop8tRS+poOCglg3wdcQSXBfNMThJhocHByVCm1tbUpPTxdJ09HREft0z0ZmZia1adOGeDwe87DA4/Gobdu2lJWVxSrbuXNn8vPzo3nz5pGWlha9ePGCiEoCcllYWEiVmz9/PgGgJk2aEFHJTVwQkO7hw4dkbm7OWm6/fv2ofv36NGzYMNLX16e3b98SEdGRI0eoVq1aYsdraGjQggULxNJLB+xr3bo1s4/H44lEzgZAMTExzG9BBGBpqPMm2rp1a6lbmzZtVMqbDWNjY4kTDWn1KUDQvq1bt6avX79SRkYGPX/+XGRjw9TUlJnACj9surq6ypzACsw+hg8fTra2tnT9+nUiKgluaGxszFpuRXmOCggIIH9/f3r37h2T9vbtW/L396eOHTvKnXd6errYeCAJdYwby5cvJwsLCxowYAATkXzAgAFkaWlJCxcupOHDh5OOjo5KHp3Kc6IhjKTAiNLGHCcnJ+LxeKx9UldXV+lJ9+7du6l69eq0ZMkSio+Pp/j4eFqyZAk5OjrS7t27KTk5mdlKIxwFXdImDNs1LTyWtWzZUmQf/r95laampsRNYJ4qK19uolECN9Hg4OCoVPD5fLHJgKGhocSHQ2n06tWLGjZsSPfv32fS7t27Rw0bNhRzW1qa58+fU6dOnahOnTr0zz//MOkAqFevXlLlrl69SgCYN4QNGjRg3rCePn1apt3y+/fvaezYsdSlSxc6deoUkz5r1iyJN0sAdPXqVbF0tsjg+vr69NtvvzG/MzIyRN74/vHHH6SlpSVVxx/hJjpo0CBavny5WLq0+hQgaN8WLVqIvEmV9ja1NL169aJffvmFiP6vP3/69IkAsK7vEExw6tevT0QlX9kWL15MRCUPbFZWVjLPuayR9PCsr6/PrAcR5tatWzIjvxcUFNCMGTPI2NiYqWNjY2P6/fff6du3bxJl1DFuBAUF0bp168TS169fz7y5X7Vqlcx1BGxU1ERDUrnSxhwej0ft2rWTmpegT+ro6NDs2bNp//79dOTIEZGNDeGvEpI2ea8pWbBd02xjmaamJk2cOFFqvrt37+YmGgrArdHg4OCoVBARhgwZIhId+suXLxg1apSIPe7Bgwel5hEVFYVz586JuGAUeI3q0KEDa/nVq1fH8ePHxdL5fD58fHykyl25cgUAcPToUXh7eyM4OBiTJk3C/v37ce3aNQQFBbGWa2pqijVr1oilS/OKw+fzkZSUhJ9++klqnnw+X+T3uHHjRFzHlvaodP78eTRu3JhVT3Xx4cMHFBUVibmzzM7OhqampoittSRevHiBo0ePIj09Hd++fRPZJ8mNqQA3NzfMmzcPCQkJIjbePB4P4eHh2Ldvn0Q5Qfvy+XwcP35c4UByy5Ytg5+fHzw9PfHlyxf069cPaWlpAIDFixdLlfPz88PMmTPx888/AwDGjx/PrG9JT08XCUop4OPHj0z9ffz4kVUvWfUsDy1btoSenp5Imo6ODrM2RJjc3Fxoa2uz5jd+/HgcPHgQ4eHhjJvWy5cvY86cOXj37h3WrVsnJqOOceP06dP4448/xNJ9fX0xZcoUAEDHjh2luvmVB0l1VVFIG3OIiAlwJwlBn/z27RvmzZsntp/H46GoqEiqvLR1UvKSk5Mj4hq3Vq1aGDp0KExMTESOk2eMlISNjQ0uXbokdb8i1z0H596Wg4OjkhEcHCzXcVu2bJG6z8jICPHx8cyCUgE3b96Ej48P68NXenq6xHQfHx+8e/cO//77L+O+UMDHjx9RvXp1WFlZISUlhfGlv3v3bly6dAlubm4YOXIk6wPWhQsXpO4DIObysUaNGsjKysKLFy9E9BF2r+ji4oJHjx6x5qsI6nTdGBAQgM6dO4tF6l2/fj2OHj3KLBKWRHR0NLp06QJnZ2ekpqbCy8sLz549AxGhfv36OH/+vFRZaW4xX7x4gaKiInz8+FFq+378+BH3799nFpUqSmFhIXbv3o3bt28jNzcX9evXx4gRI7BmzRqpEYvXrFmDCRMmiDy4Xb58GZcvX4abmxs6d+4sJqOhoYFXr17B2toafD5f4oMREcl8IATkW9AtiUGDBuHGjRvYtGkTGjVqBKBksvbLL7+gQYMG2Lp1q1RZExMT7N69GwEBASLpJ0+eRN++ffHhwwcxGXWMG9WrV8ekSZPEJm8rVqzAihUrkJ6ejtu3b6NDhw54/fq1mLyydVUeSHIjDADx8fHYsGEDnjx5gn379qFatWrg8/mYOHGi1Am7pD5ZXly7dg1+fn7Q09Nj+lVSUhI+f/6MM2fOiLjilTZGAsCrV69QtWpVAOJj2dGjR5GTkyPVRW9+fj5u3ryJ5s2bi+3j3NuKw000ODg4fji6du2KnJwc7Nq1i7mZvHz5Ev3794eZmRkOHTokVVbagxkAFBcXQ0NDAx06dIC3tzeICDdu3MC5c+dQXFyMhIQEpQNllf76AIi+OSt9U09KSkKTJk3A4/FE9ElKSsK5c+cAlDyQt23bVmbZw4cPx6xZs1C9enXW49R5EzU3N0dCQoJY4K/U1FQ0b94c7969kyrbqFEjBAQEYO7cucwDlLW1Nfr37w9/f3+MHj1aYX2k1adw+9asWRMbN25kYqyoA7aHIcEEx9ramvEkJg9xcXFM8Li4uDjWY9m+0j169AidOnXCixcvULNmTQAlsQjs7e1x4sQJuLi4SJXNycnB4MGDcezYMWhpaQEomWh16dIFW7duFXv7LIy1tTXi4uLE+kZKSgpatWqFN2/esJ6TsmzcuBGjR49Gx44dRR5iT548ifXr12PYsGFYtmwZrl69ij179ojIqlJX5YGkicaBAwcwcOBA9O/fH5GRkbh//z6cnZ1hbW2N9+/f4/3792rrk0ePHkVAQAC0tLRw9OhR1mO7dOkidV/Lli3h6uqKjRs3Mi90CgsLMXz4cDx58kTkhY2sa1owpnJxNMqYCjHY4uDg4ChD0tPTqV69eqSlpUXOzs7k7OxMWlpa5O3tLXNx6K1bt0S2pKQk+vvvv8nd3Z3mz59PlpaWImsgAJC5uTmdO3dOZBGjpI2NnJwcke3Nmzd05swZaty4sVS/8XFxcRL1gYI2wgDo2LFjMo9Tp/2xNBv+27dvk56eHqussOclU1NTunv3LhGVtJ2Dg4Nc5X/9+pVSU1OpoKCASZNWnxYWFnTu3DmKjo6mpk2bUkxMDL19+5Y+fPggssnDvXv36NSpU4wt+9KlS4nH45GGhgYFBATQ//73P/rtt9/Iz8+PNDQ0iMfj0aVLlygiIoKaNWtGVapUoWfPnhER0YoVK1hjwxQUFNDcuXMVWhAtjDoWdD98+JCOHj1KR48epbS0NLlk5s6dS3379hXxmvTlyxfq378/zZkzR7GTUJCLFy9Snz59GE9Zffr0oYSEBJly6lr8XlZIWqNRr1492rZtm9j+yMhIAiCzT8bGxlJgYCC5uLiQi4sLde7cmS5cuCCx/NKxbNjWZ7Chq6tLKSkpYun37t2TOG6wXdPqGsuE4dZoiMNNNDg4OH5IiouL6cyZM4z3mLNnz6qU3/Hjx8nHx4eIiJ48eUKbN2+mzZs3ywwGJ+8NVBqxsbHMQmBpCOtz+/ZtqTc6aTd3wfGC39JQt9epcePGiaWPGTOGWrRowSprY2PDLPT38PBgFp/Ks9A4Ly+Phg4dShoaGiKB88aNG8csshauT2FXrJLcasq7cPXx48dUp04dsT4iyINtgvPXX3+RpaUlLViwgPT09Bidt2zZIuJVTBKGhoZMwD5FUWVBtyp069aNjIyMyNLSknx9fcnX15csLS3J2NiYunfvLrJVBJJcxVZUXcmLIDCiMHp6ekzfEJ5oPH78mLS1tVn7ZGRkJGlqalKvXr1o5cqVtHLlSurVqxdpaWnRjh07yuw8rK2t6fTp02LpUVFRZG1tLVWu9DXNNpYBIDc3NxF3yfLCTTTE4RaDc3Bw/FAUFBRAT08Pt27dQvv27dG+fXu15FuzZk0kJSUBKLHzF9j6t23bVmYwOFWwsbHBgwcPWI8R1icvL0/qcUQEa2trEdMEIsKmTZvQvn17ODg4qEdpOViwYAHatWuH5ORk+Pr6Aigx9UpKSsKZM2dYZZs0aYKLFy/Cw8MDHTt2xJQpU3Dnzh0cPHgQTZo0YZX97bffkJycjNjYWPj7+zPp7dq1w5w5czB9+nSR+hQmJiZGiTMtYcKECXByckJ0dDScnJxw9epVvHv3DlOmTMHSpUvRsmVLPH36FLGxsQBK1uQIzG3Gjx+PjRs3olu3biIBDhs2bIhff/2Vtdy2bdsiLi4Ojo6OCuus6ILuyZMnY/78+TAwMMDkyZNZ82ZbsG9qasosfhdgb28vp9Zlz6JFi9CrVy+YmpoyaaosflcVRQIjCmNra4tHjx6J9Y2LFy/CxcUF9+/fl9onPTw8EB4eLrKeJSQkBMuXL8f8+fPRr18/uXT/8uULdHV15T7X3r17Y9iwYVi6dCmaNWsGAEhISEBoaCj69u0rVa70Nc02TgIla/VGjRqFkJAQdOjQAeHh4WKmfBxyUtEzHQ4ODg514+TkxMSwUJTS5jA5OTmUkpJCvXv3prp166pXUSFKm1ndunWLTp06RT4+PtS8eXO582F7o3bu3DkyMDAgZ2dnevXqFZMOQKZLSll5K8PNmzepX79+5OnpSQ0aNKDg4GB6+PChTLnHjx8zpmi5ubk0cuRIql27NgUFBTFmRdKoXr06Xb58mYhE3+KmpaWRkZGRimckHQsLC0ZnY2NjJnhfdHQ01atXj1VWV1eXOS9hnR8+fEi6urqssuvWrSNbW1uaMmUK7dy5UyE3pAMHDqRatWpRYmIiFRcXU3FxMV2+fJm8vLxo8ODBYse3bt2aedNfUXFSygNJZkiK1pW6UCUw4qJFi8jT05MSExPJyMiI4uPjafv27WRlZUWrVq1ildXW1pZoCpeWlkY6OjqssoWFhTRv3jyqWrWqyFfFGTNmiLgUl8TXr18pJCSEtLW1ma+BOjo6NHHiRBFTO1nI+qJx9+5d2rNnD9WuXZv56lu1alWaO3cuaxBI7ouGONxEg4OD44fjn3/+oY4dO4rYS8uLNNOY6tWr06VLl8SOL/3gxrbJU25ps6amTZtKtEmWhqwb3efPn6lRo0akqalJf/31FxFV3ERDHiSZqcjLzp07xfQUNj0SfmC8deuWzOB3RCWxB5YuXUrDhg2jYcOG0fLlyyknJ0emnKmpKRPTwdnZmc6fP09EJZHfZa1J8fDwYNZiCOu8atUq1hgcRKrZw79//566dOlCPB6PtLW1mYe7bt26yXXOypKfn095eXnM72fPntGKFSskmsxUBNJiUlREXamyNqS4uJgWLFhABgYGTJ/Q1dWlGTNmyCzXxcVFomnRunXryNXVlVV27ty55OzsTNu3bxe5Hnfv3s0EPJVFXl4e3b59m27fvi3SV+RFnomGgA8fPtC4cePIzMyMWbtSOsifPPn+V+EmGhwcHD8c9erVI0NDQ9LR0aEaNWowb/oEGxulI81euHCBUlJSRBYNCyMt2JQke342nj17JrKlp6fT58+fFT53eW90S5cuJQ0NDWratGmlnmhIimisimzLli2Zt7XCAd3GjRtHfn5+rPklJSWRubk5VatWjVkjYGdnRxYWFky0bmm0aNGCDh06REREffv2JX9/f7p48SINGjRIYuR3YTZu3EjVqlWj3bt3k4GBAe3atYt5QNy1axerrDpQZkG3KrRv354JnPf+/XuytrYmOzs70tXVZSbHFQlb0L3yrit1rA35+vUr3bt3j65cuUKfPn2SS+avv/4ibW1tGjVqFEVERFBERASNHDmSdHR0ZK5tcHFxYRxcCNdlSkoKmZqaylW+qigy0RAmPj6eWrRoQRoaGgrn+1+FW6PBwcHxw9GtWzelZXk8Hpo1a8a4ThRQWFiICxcuiMWzKC4uZv4/d+4cpk2bhkWLFokEGpsxYwZrAKyCggIMHToU69evh5ubm9K6K8KUKVPQpUsX+Pj4gMfjMS5IKxukggd2SbKLFi1CQEAA7t+/j8LCQqxcuRL379/HpUuXZLqCnTRpErp06SLRtebEiRNZY6HMmDGDsQufN28eAgMD0bJlS1hYWIi5Si3N8OHDoaenhxkzZiA/Px/9+vVD1apVsXLlSvTp00dWNaiMm5ubXP1SVlBKYdgC5924cQMrVqwAAOzfvx+2tra4efMmDhw4gFmzZinlvri8kLeu1IU61oZoa2vD09NToXJHjx4NW1tbLFu2DHv37gVQsm5jz5496Nq1K6vsy5cv4erqKpZeXFyMgoICVtm8vDyEhYUhOjoaWVlZIuMvADx58kSh81CUFi1aID4+XqxcDulwEw0ODo4fjtmzZyst26ZNGybYmTAfPnxAmzZtWINUTZw4EevXrxeJs+Dn5wd9fX2MGDGCWaxZGi0tLdy+fVtpnZXFzc0N//77b7mXW5G0aNECt27dQlhYGGrXrs0E+bp8+TJq167NKnvt2jWRSQYAaGpqYurUqWjYsCGrrJ+fH/O/q6srUlNTkZ2dDTMzM7kiDffv3x/9+/dHfn4+cnNzxfonG3l5eYiLi5MYRT0kJETktyoLutliYyhCfn4+jIyMAABnzpxBUFAQ+Hw+mjRpgufPn6ulDHWgrsXvqhAYGIgRI0aIBUYcNWoUazwKQPWH9u7du6N79+4K6+zp6Yn4+Hgx5xP79++Ht7c3q+zw4cMRFxeHgQMHokqVKmUSpbt169awsbFhPUZS3CMOyXATDQ4Ojh+Wa9euMQ/3np6eaNCggUwZ+v8Rk0vz7t07mcGXHj9+LOKJRoCJiQmePXvGKjtgwABs2rRJxKtQWfDt2zdcunQJLVq0gKamJj5+/IjZs2ejqKgII0aMgJeXV5mWXxlwcXHBxo0bFZYzNjZGenq6WGTwjIwM5sFYEczNzRWW0dfXh76+vtzH37x5Ex07dkR+fj7y8vJgbm6Ot2/fQl9fH9bW1mITjZs3bzJvlW/evCk1X0nXCFvUbUVwdXXF4cOH0b17d5w+fZrxbJSVlQVjY2O1lKEKLVu2hJ6enkp1pS5WrVqFwYMHo2nTpmKBEVeuXMkqWx4P7ZKYNWsWBg8ejJcvX6K4uBgHDx7EgwcPEBERgePHj7PKnjp1CidOnJAYlVtdqOJdjkMcLjI4BwfHD8eLFy/Qt29fJCQkMA/+OTk5aNasGXbv3g07OzsxGYHZx5EjR+Dv7w8dHR1mX1FREW7fvo2aNWsiKipKarmtWrWCrq4uIiMjmTdimZmZGDRoEL58+cJqmjN+/HhERETAzc0NDRo0EJvUyPtGlC0y7f79+9G7d28UFxdDR0cHcXFx8PHxwdevXwGUPBBt2bIFgwcPVjjvskJSRGNVZYuKinDo0CGRSWjXrl3FzOVKExISgkOHDkl0rfnzzz/jzz//FDk+KCgIW7duhbGxsUyzIjZTIicnJ9aHQLY3z61bt0aNGjWwfv16mJiYIDk5GVpaWhgwYAAmTJigkLlTebF//37069cPRUVFaNu2Lc6ePQsAWLx4MS5cuIBTp06VWdnyuIqtjKSlpSE1NRVAiQmTJNOk0piamir90F5UVIQVK1Zg7969Er+UZWdns8rHx8dj3rx5SE5ORm5uLurXr49Zs2ahQ4cOrHJOTk44efKkyq5mZY1lyr6Q4SKDi8N90eDg4PjhGD58OAoKCpCSkoKaNWsCAB48eIDg4GAMHz5c4mRBYPZBRDAyMoKenh6zT1tbG02aNMEvv/zCWu7mzZvRvXt3VK9enfH7n5GRATc3Nxw+fJhV9u7du6hfvz4A4OHDhyL71PWmcdSoUahSpQpWr16NefPmoVWrVrC2tsaDBw/A5/Ph6emJyZMnS51o/Ajcu3cPXbp0wevXr5m+8ccff8DKygrHjh1j/aKzdOlS8Hg8DBo0CIWFhQBKzN5Gjx4t8UuUiYkJ03aqmBVNnDhR5HdBQQFu3ryJqKgohIaGssreunULGzZsAJ/Ph4aGBr5+/QpnZ2eEh4dj8ODBap1o1K9fH9HR0TAzM4O3tzdrv71x44bUfT169ECLFi3w6tUr1K1bl0n39fVVylRHXh49eoROnTrhxYsXTN9YvHgx7O3tceLECSaGRGVEmbUhZmZmSn1VA4C5c+fin3/+wZQpUzBjxgz8/vvvePbsGQ4fPoxZs2bJlG/ZsiUzgVSE+fPnY9asWdi2bZtCX/YUQdYLmTVr1rC+kOEQhfuiwcHB8cOhp6eHS5cuidn7Xr9+HS1btkR+fr5U2blz5+LXX39V+k0UEeHs2bMibxfbtWtXbmYJbG/U+Hw+jh49isDAQGRnZ8PCwgKbN29GcHAwgJKvOd27d5e60LEi3tZ17NgRmzZtQpUqVRSW9fLywqlTp0SCvTVt2hRWVlbYtm0bzMzMAADv37/HkCFD8ObNG1y6dElmvvn5+Xj8+DGAEjOssnrgkcXatWtx7do1VpMlKysrXLp0CW5ubqhRowZWr14NPz8/pKamokGDBmKBy1RZ0D137lyEhoZCX18fc+fOZZWVZx3Vo0eP8PjxY7Rq1Qp6enpSzRrVRceOHUFE2LFjB/MA/u7dOwwYMAB8Ph8nTpwQOV5di98VRV1rQ7Zv344jR44o9dDu4uKCVatWoVOnTjAyMsKtW7eYtMTEROzcuVOh/OTF29sbjx8/BhHB0dFRzIkF2wRWGLaxzNLSErq6uswLmfv374u9kPnw4QPevXunUL7/VbgvGhwcHD8c9vb2Er2XFBUVoWrVqqyyqiwkB0q+PnTo0EGmCUBFITAJE0TjFfZMU1Gep758+SJmeiGwxZcU0Vhe7t69K5Z269YtXLt2jZlkACVvdhcuXIiffvqJNb+tW7diyJAh0NfXF1k4XlhYiJkzZ2Lx4sVK66oMAQEB+O2331gnGt7e3khKSoKbmxt8fHwwa9YsvH37FpGRkRK/3qjy5UX42lHlOnr37h169eqFmJgY8Hg8pKWlwdnZGcOGDYOZmRmWLVumdN5sxMXFITExUeQtv4WFBcLCwiSaF6lr8buiqGttyLJly/D48WPY2Ngo/ND++vVr5howNDTEhw8fAJQsTp85c6bY8fI6PQDYza5U8SgoL9nZ2cwLGR8fH1hYWGDevHnMZGzFihVl+mXtR4ObaHBwcPxwLFmyBOPHj8fatWsZb0DXrl3DhAkTsHTpUlbZzMxM/Prrr4wnltIffdm8TgFAdHS0VC8umzdvlipXHm4bTU1NMW7cOOzYsQNTp06FlpYW5s6di/79+wMApk2bptSiZmXIz8/H1KlTsXfvXolvBtnqWRX78Bo1aiAzMxO1atUSSc/KypJp1x4SEoITJ07g77//ZiYqDx48QL9+/fDu3TvWiYaq/UoS+/fvl2n6smjRIsb96cKFCzFo0CCMHj0abm5uEvujuhZ0C1DGIcOkSZOgpaWF9PR0EVv83r17Y/LkyWU20VDUVay660pehBcrq7JwWZWHdjs7O7x69QrVq1eHi4sL470tKSlJZH2bAOH1S+/evcOCBQvg5+cn4gb89OnTEicpwqj6IkheKuMLme+WigjewcHBwaFuTE1NyczMjNkEkXmFo/Rqa2uTmZkZaz7+/v7k6elJf/31Fx06dIgOHz4ssrExZ84c4vP51KhRI+ratSt169ZNZGOjT58+VKVKFZo6dSqtWLGC/vzzT5FNXtgCRm3dupV4PB4BIB6PR4cPHyYDAwMmoCAACg8PVypvRRkzZgx5eHjQ/v37SU9PjzZv3kzz588nOzs72r59O6vszJkzqUqVKrR06VLS1dWl+fPn07Bhw8jCwoJWrlzJKnvixAmqVasW7du3jzIyMigjI4P27dtHtWvXphMnTtCHDx+YrTSPHj2iJk2aULVq1ejMmTO0Zs0a0tfXp379+smM/qxKv6pXr55IwMl69eqRra0taWho0IYNG1hlK4qMjAxq0aIF8Xg85prk8XjUvHlzysjIYJW1sbGhW7duEZFoQLfHjx/LHYROGQYOHEi1atWixMREKi4upuLiYrp8+TJ5eXnR4MGDy6zc75Fp06bRwoULiagkorempia5urqStrY2TZs2jVU2KCiIVq9eLZa+evVq6tq1q8yy379/Txs3bqTp06czEdGvX79OL168kFt/trHMzMyMatSoQUlJSdSmTRvS0tIiNzc3Zr+XlxcZGxsrnO9/FW6NBgcHxw/Btm3b5D6WbRGfkZER4uPjUa9ePYV1qFKlCsLDwzFw4ECFZVXxACOMLBvhrKwsnDlzBu3atYOtrS1ycnIwceJE5OXlYejQoQgICFA6b0WoXr06IiIi0Lp1axgbG+PGjRtwdXVFZGQkdu3axWoypYp9uLD/e4Eph+A2KPybx+NJ/MpQXFyMiRMnYu3atdDQ0MC2bdvQt29fmeerSr8qvd6Bz+fDysoKrVu3FnO1W5rPnz+DiBizj+fPn+PQoUPw9PSUaN6nrgXd/v7+yMnJwbZt28QcMhgbG7N6bzMyMsKNGzfg5uYm4jns2rVr8PPzk/gFTB3k5ORg8ODBOHbsmJir2K1bt4qZSqmrrhRFnWtDcnJysH//fjx+/BihoaEwNzfHjRs3YGNjg2rVqsldTmJiIrMWqHPnzqzHGhoa4tatW2JfEB89eoR69eohNzdXquzt27fRrl07xmX4gwcP4OzsjBkzZiA9PR0RERFy6cs2lm3btg3BwcHMOHDo0CH0798fnz9/BlAyBoSHh0t0xMCt0RCHM53i4OD4IVDGA0hYWBhGjRolEvvC3t5e6WjU3759Y9yeKooqHmAUwdraGgMGDGB+m5qaYuvWrWVebmmys7MZt7PGxsaMuVOLFi1kRn5W1D5cGFV95J84cQK7d+9G06ZN8fDhQ2zatAk+Pj4y1/6o0q9UMRfp2rUrgoKCMGrUKOTk5KBRo0bQ1tbG27dvsXz5crG67tq1K2M2ooppTVxcHC5dusRMMgCgZs2aWL16NVq2bMkq27JlS0RERGD+/PkASiaAgoe7Nm3aKK2TLExNTXHkyBG5XcWqq64URV1rQ0o/tP/yyy8wNzfHwYMHFXpoB4AmTZqgSZMmch1rYWGBI0eOYMqUKSLpR44cgYWFBavs5MmTMWTIEISHh4uYeXbs2BH9+vWTW182Bg8ejICAAJEXMi9evJD7hQxHKSruYwoHBwdHxWJkZMSYZQg4ffo0dejQgZ4+fapwflOnTqV58+YppUtkZCT16NGD8vLylJIXoMqn+8zMTFq1alWZ5F2a2rVrU2xsLBER+fr60pQpU4iIaOXKlVStWjVW2Ro1alBiYiIRETVv3pwWL15MRCUmHFZWVirpxcaIESNIR0eHli5dSsXFxfTq1SsKCAggc3Nz2rNnD6usKv2KiKiwsJD27dtH8+bNo3nz5tH+/fupoKBAppyFhQXdvXuXiIg2btxIderUoaKiItq7dy+5u7srpYs8uLm50ZUrV8TSr1y5Qi4uLqyyd+7cIWtra/L39ydtbW3q0aMHeXh4kI2NDT169KisVP7P4evrS6GhoUQkaqKWkJBADg4OrLKLFi2iTZs2iaVv2rSJwsLCWGW3bNlCGhoaFBgYSPPnz6f58+dTYGAgaWpq0pYtW1hljY2NmT4grPOzZ89IR0eHVVaYsjJx4kynxOG+aHBwcPxnIQlvmHv37o38/HzGbWnphX9sC42/fPmCv//+G+fOnUOdOnXEZEu7mixtbvHo0SOlPMAII2zuc+HCBXTo0EHuYGOxsbEICQnB+PHjJe4XXnS9Zs0aTJo0SeIiWXkIDg5GcnIyfHx8MH36dHTu3Blr1qxBQUGBzOCE3bt3R3R0NBo3bozx48czUdXT09OZKNJsfPnyBbdv35a46L5Lly5S5RISEnDlyhUmtoOtrS1OnjyJtWvXYujQoejVq5fI8aU97eTl5SnVr+7du4fOnTsjMzNT4dgf+fn5zJvfM2fOICgoCHw+H02aNMHz58+lygmjzIJuVRwyeHl54eHDh1izZg2MjIyQm5uLoKAgjB07Vik3x2yoy1WsAGXqqqJISkrChg0bxNKrVauG169fs8pu2LBBoolirVq10KdPH0ybNk2q7JAhQ+Dh4YFVq1Yxpl0eHh64ePEiGjduzFqujo4OPn78KJb+8OFDWFlZscoKo8o4mZWVhT179kgcJ9U5Rv4ocGs0ODg4/rNIihwta60Hm4kWm1kHj8fD+fPnRdJkxRoQRh7zmYMHD2L8+PH4999/mTQ7OzusXLlSLrvuvXv3onfv3hInYFOnTsWyZctEHsw1NDQwefJkhIeHy3kW0nn+/DmuX78OV1dX1KlTRyHZy5cv4/Lly3LZh0dFRWHQoEF4+/at2D5p6zIEfP36VaJHHaBk/YGwmRCgvnVDqsT+qFOnDoYPH47u3bvDy8sLUVFRaNq0Ka5fv45OnTqxPlC+ePECffv2RUJCAmNemJOTg2bNmmH37t2ws7OTKmtmZob8/HwUFhYyEdcF/5e2WxeeZBUUFMDf3x/r169XOACdMrRp0waHDh2CqampwtevMKrUlaKoa22ItbU1Tp8+DW9vb5Gx8OzZsxg6dCgyMjKkyurq6iIlJQVOTk4i6U+ePIGnpye+fPmi+ImVQpJp6/Dhw/Hu3Tvs3bsX5ubmuH37NjQ0NNCtWze0atVKxLuVNMpqnCzrMfJ7hZtocHBw/GeRNNH4Xjl48CB69OghdvMTPITs378fPXr0YM1DICvpBrpkyRKpcqGhod/NjdTNzQ0dOnTArFmzYGNjU9HqyIWenh6uXbsm5pL37t27+Omnn5hFqpLYv38/+vXrh6KiIrRt25aJxrx48WJcuHABp06dkiqryoJuVSZZwkEGvxdUqStFUVdgRFUe2t3c3DB79myR9V4AEBkZidmzZ6vFHbexsTFu3bolMj5/+PABPXr0wLVr1/Dp0ydUrVoVr1+/RtOmTXHy5EmZi6/lGSdlTTYkTTR+pDFS3XATDQ4Ojv8ssiYabIHkZPHixQsAkPtNprOzM5KSksQWQ+bk5KB+/fqsN+6ioiI4OjoyZZaGx+PBzs4OGRkZaNCggVjEdAGPHj1CbGwsMjMzoa+vDx6Ph2/fvsHS0lJqtHCgxAvSmzdvUFhYCKAksq6wdycBq1atkppHaUJCQqTu27ZtGywtLdGpUycAJTf5v//+G56enti1axccHBykyhobG+PmzZtwcXGRSw91vT0+efIkNDQ04OfnJ5J+5swZFBUVsS4urVu3LlasWIG2bduKpJ8/fx4TJkzAnTt3WM/h9evXePXqFerWrcu0y9WrV2FsbMzqtUpPTw+XLl0S6y/Xr19Hy5YtkZ+fz1quskyaNAk6OjoICwsrk/zLgoqqK1VQ5aE9PDwc4eHhWLJkCdMvo6OjMXXqVEyZMgW//fabyvqxjc8JCQlITk5Gbm4u6tevj3bt2snMT95xUtp+AYLHZsE4WVBQINcY+fbtW2hpaTF9Qdo4+aPBrdHg4ODgECIvLw/Tpk1TKpBccXExFixYgGXLljEuGo2MjDBlyhT8/vvvrDeVZ8+eScz769evMm988fHxrMcQETIyMqCnp4fq1atj48aNEo/7559/EBsbq/Cb/uLiYpEJUmZmJqytrcWOW7FihcjvN2/eID8/X8TURF9fH9bW1qwTjUWLFmHdunUASsym1qxZgz///BPHjx/HpEmTWF169ujRA7GxsXJPNNTlWWj69OkSH5yLi4sxffp0sYmGsB364sWLERISgjlz5jCefRITEzFv3jz88ccfMsu2tbVlPOcAJZPfRo0ayZSzt7dnIlALU1RUJNPLljCKTtgLCwuxefNmnDt3Dg0aNBB74JVnrYS8qMtVrLrqSlmUWRtiYmKCs2fPKvXQHhoainfv3mHMmDFM2+rq6mLatGlqmWRIIyIiAr1790bz5s1FXIF/+/YNu3fvxqBBg6TKyjtOAmB9IZOSkoKEhASFxsni4mIxr4LSxskfDW6iwcHB8Z+lZcuW0NPTE0mbOnUqYmJisG7dOgwcOBBr167Fy5cvsWHDBplvWH///Xds2rQJYWFhzE3w4sWLmDNnDr58+YKFCxeKyRw9epT5//Tp0yKuK4uKihAdHS1mB12aV69eyTxXoCT+xPv376XuV8RvvjI8ffqU+X/nzp3466+/sGnTJhFTk19++QUjR45kzScjI4NxOXr48GH06NEDI0aMQPPmzdG6dWtW2TVr1qBnz56Ij49H7dq1xRZll57gCJueqOJmNi0tDZ6enmLp7u7uePTokVi6qampyNcTIkKvXr3EYn907ty5zCa/qizoVmXCfvfuXdSvXx9AySJfYdi+KCmDulzFqlJXqqDK2pDU1FS4u7uLPbQDJWNR6a9vwvB4PPzxxx+YOXMmUlJSoKenBzc3N6lrmNRFcHAw/P39xR7QP336hODgYNaJhrzjpK6urswXMgkJCfIr/V+nnL1ccXBwcJQrnz9/Fon2LCniszD29vYUExNDRCXub9PS0oiIKCIiggICAlhlq1SpQkeOHBFLP3z4MFWtWlWiDI/HIx6PR3w+n/lfsGlra1ONGjXo2LFjrOXGxMQwLhXZNsF5SePTp0/MsZmZmZSbm0thYWFy5T1v3jzm/0+fPrGWQ0Tk7OxMN27cEEu/du0aOTo6sspaWVkxsvXq1aOIiAgiKoncLSty9D///EOamppkaGhIDg4O5OjoyGxOTk4y9VYWGxsbio6OFks/e/asRJe8sbGxcm9sTJ8+naysrOivv/6i5ORkSk5OprVr15KVlRX973//Y5U1NTUlbW1t4vP5pK2tLfK/INq3YCuNKpHfv0dUqStV8PPzo8aNG1NqaiqTlpqaSk2bNiU/Pz9WWT09PVqzZo1I2pcvX2js2LEKuYotK4Td1wrg8XiUlZUlduytW7dk1q2842SDBg2odevWUvM5f/68yDgp7xgZFhZGmZmZCo2TPwLcGg0ODo4fjvz8fEydOlWpt6mGhoa4f/8+qlevDjs7Oxw8eBCNGjXC06dPUbt2bdaotbq6urh9+zZq1Kghkv7gwQPUq1ePddGuk5MTkpKSYGlpKccZip+Po6MjXr58KdFjlMD2+OnTp6wuHCVFtf327Rv09fVZ60xDQwNv3rxhTAPkiYirr6+PuLg4/PTTTyLpV69eRevWrVlt2vv374/U1FR4e3tj165dSE9Ph4WFBY4ePYr//e9/uHv3rlRZW1tbhISEYPr06XLZR5d2UcsGm4vakSNH4vLlyzh06BBjtvXo0SP8/PPP+Omnn/DPP//IVYaiVK1aFevXrxdz23vkyBGMGTMGL1++lCqryoJuVSK/f/jwAUVFRWKmJtnZ2dDU1JR7nVR5oi4PY4qiytqQvXv3YvTo0WjcuDG2bNmCV69eoV+/figuLkZkZKTYtRkUFIStW7fC2NhYpsmZrIjk8iC8RkOwPio5ORm1atViPJkBJePf06dP4e/vj71790rNr6zGSS0tLbnGyPz8fBQUFPznIodzplMcHBw/HKGhoUqbPzk7O+Pp06eoXr063N3dsXfvXjRq1AjHjh0TcbMoibp162LNmjVii57XrFnDxF6QhrBZ0ZcvX6Crq8t+kkJoaGhg5cqV6NGjB3g8nshNVPCQ/Oeff+LcuXP4999/ERwczOxfsmQJFi1ahIKCAok+7LW1tTF58mRWjyqTJ09W2Fe8r68vRo4ciX/++Ycxk7l+/TpGjx4t00Z87dq1mDFjBjIyMnDgwAFmfcj169fRt29fVtlv376hd+/eci/CFPa88+7dOyxYsAB+fn5o2rQpgJI1IqdPn5YZkTw8PBz+/v5wd3dnzFlevHiBli1bymVaEx8fjw0bNuDJkyfYt28fqlWrhsjISDg5OaFFixZS5bKzsyUu+HZ3d2edGAGqPRCrEvm9T58+6Ny5M8aMGSOSvnfvXhw9epR1kqIo6lrsr87JgyKosjakV69eaNasGYKDg1GrVi3k5eVhyJAhWLZsGfT19cWONzExYepHXSZnbAibtgrWR926dQt+fn7MwzpQMkY5Ojri559/Zs1P3nFS3ngawuXLO0ZKaqsfnor8nMLBwcFRFqhi/rR8+XJauXIlEZWYtejq6pKOjg7x+Xz6888/WWVjY2PJwMCAPDw8aOjQoTR06FDy8PAgQ0NDunDhAqtsUVERzZs3j6pWrUoaGhqMycCMGTPon3/+kee06cCBA2RnZyfyud7e3p4OHDhARCWmXS1btmSOj4uLIwBkYWFBdevWFZErHdU2NDSUNDQ0RI7R0NBgIgsrGhE3KyuLAgICGBMxgalJQEAAZWZmynW+yjBx4kRauHChUrJBQUG0evVqsfTVq1dT165dZcoXFxfT6dOnKTw8nFavXk1xcXFylSswPxo+fDjp6OgwfWP16tUy+3OjRo1o/PjxYunjxo2jxo0by1U+keImiKpEfjczM6P79++LpaekpJC5ubncOsvDnDlzKC8vj/mfbZMXRetKFQ4fPkyNGjWipKQkJi0pKYmaNGlChw4dkimfkZFBrVq1IlNTU9LS0qK5c+dSUVFRmekroLCwkPbv389EBj948CAVFhbKlNu6dSt9/vxZpbJljZNRUVG0efNmEZnw8HAyNTUlAwMDatu2rcSxTtYYSfTfjBzOTTQ4ODh+OAwMDOj58+dERFStWjW6cuUKERE9efJEpg1/aZ49e0YHDhyg5ORkuY5/+fIl/e9//6OgoCAKCgqi33//nV6+fClTbu7cueTs7Ezbt28nPT095mFy9+7d1KRJE7n1LSwspJiYGNq5cyfFxMSI3Lw1NDRow4YNzG9fX1/S1dVlfvfv35/1Jvj161dasWIFjRs3jlasWEFfv35l9il7A33w4AEdOXKEjhw5Qg8ePJBbjogoLy+PUlJSmLUHgo2N8ePHk4mJCbVq1YrGjRtHkyZNEtnYMDAwYCatwqSlpSncrxShXr16tG3bNiIStVu/ceMG2djYsMqqMvnNzc2lsWPHkpWVFfH5fLGNDVUm7Pr6+nT79m2x9Nu3b5Oenh6rbEWhSl2pgiprQ3bt2kWmpqbUuXNnysrKojNnzlC1atWoWbNmYmsj1ElaWhrVqFGD9PX1ydvbm7y9vUlfX59q1qxJjx49kiuPa9euUWRkJEVGRkpc6yULtnFSlRcybGMk0X9zosGt0eDg4PjhqFOnDlavXg0fHx+0a9cO9erVw9KlS7Fq1SqEh4fLdBdbEbi6umLDhg3w9fUVsU1OTU1F06ZNWb1FyQuPx0NiYiJjImVubo5atWohPj4eQEmsB0FsCkXthyWt7ygr3rx5gyFDhkgNgsZmK61K9GcHBweEhIRgypQpIunLli3DqlWr8Pz5c1a94+LisHTpUhE3pKGhoWjZsiWrnL6+Pu7fvw9HR0eRviFvFOZ///0Xa9euRWpqKgDAw8MDY8aMkWlaM3bsWMTExGD+/PkSTRD79+/PKi+MIpHf27RpAy8vL6xevVpMn9u3bzP9taxQxlWsOutKEVRZG2JgYIClS5eKmLK9f/8eI0eORFRUlIiLZQAyTcuEYTMz69ixI4gIO3bsYNbhvHv3DgMGDACfz8eJEyekymZlZaFPnz6IjY0V8bLVpk0b7N69G1ZWVnLpx4ampib++usvjBgxAgDQrl07JCQkMGvsBgwYgB07dgCo3ONkZYFbo8HBwfHDERwcjOTkZPj4+GD69Ono3Lkz1qxZg4KCArl88CclJSEmJgZZWVliQZhkyX/58gW3b9+WKFt6Qa4wL1++ZFy2ClNcXKw2u14+n4/79++jcePGKCwsxPv37+Hr68vsL+ugYpMnT8b8+fNhYGCAyZMnsx7LVs8TJ07Ehw8fcOXKFbRu3RqHDh1CZmYm48aVjZiYGKV0B0oiMg8fPhyxsbHMZO3KlSuIioqS6gpTwPbt2xEcHIygoCDGhW5CQgJ8fX2xdetW9OvXT6qsra0tHj16BEdHR5H0ixcvyhXVvmrVqmKulV+8eIERI0bg77//lip37NgxZkF3cHAwWrZsCVdXVzg4OGDHjh0SH56Li4uxZMkSHD16FN++fYOvry9mz54NBwcH1kCKwixYsADt2rVDcnIy0z+jo6ORlJSEM2fOyJWHMqjiKlaZulIHqqwNuXHjBuNaWoCZmRn27t2LyMhIseNViSMjTFxcHBITE0UW+1tYWIi4BZfG+PHj8enTJ9y7dw8eHh4AgPv372Pw4MEICQnBrl27VNavqKhIZE3djRs3GJfFANCvXz9mosEhBxX8RYWDg4OjzFHE/GnhwoXE4/HI3d2dfHx8qHXr1szWpk0bVtlTp06RlZWVmJtagftaNurXr0+RkZFEJGoeM3fuXGrRooWcZ8qOg4MDWVtbU2JiInXp0oVxzyggJCRE6c/68pgEtG7dmt6/f8/8L22TVc+2traMOZyRkRFjcnXkyBFq3ry5XPqmpaVRVFQU5efnE1HJ+gl5SExMpH79+jEmH/369aPExESZcu7u7rR8+XKx9GXLlpG7uzur7KJFi8jT05MSExPJyMiI4uPjafv27WRlZUWrVq2SS+/S3Lp1S2afVMYEcd68ecTn86lDhw7UtWtX0tXVpeDgYIX1u3nzJvXr1488PT2pQYMGFBwcTA8fPlQ4H0VQxVWsOs01lUXRtSHnz58vF71KY2ZmRgkJCWLpFy9elOmi1tjYmK5evSqWfuXKFTIxMVGLfnw+n1mjUVBQQABo9uzZzP59+/aV6Tj5o8FNNDg4OH4ovn37Rm3btlX6ocTa2pq2bNmilKyrqyuNGTOGXr9+rbDs4cOHycTEhMLCwkhfX5+WLFlCw4cPJ21tbTpz5oxS+pQmPj6etLS0mBtdnz59RPbb2Nh8FzdQIyMjevr0KRERVa9enS5evEhEJQ91smz43759S23btmUmf4IJXXBwME2ePFkt+i1evJiZUAnQ1taWur5DVsyC4uJiWrBgARkYGDATV11dXZoxY4bSOsoz0VBmQberqyutX7+e+X327FnS1tYukwXGkupZFXR1daXGdpHVr1RZ/K4KqqwN0dbWJmdnZ5o/fz6lp6crXPb79+9p48aNNH36dHr37h0REV2/fp1evHjBKjdw4ECqVasWJSYmUnFxMRUXF9Ply5fJy8uLBg8ezCpraGhIN2/eFEu/ceMGGRkZKXwOkqjoFzI/GtxEg4OD44fD0tJS6YmGra2t0rJGRkZyL2aUxIULF6hdu3ZkZWVFenp61Lx5czp9+rRSeUl7APv8+TPt2bOHrl+/LrYvIiKiwm6gHz58oEOHDlFKSorMYxs2bEhRUVFERNS5c2caOHAgvXjxgqZOnUrOzs6ssgMHDiQ/Pz/KyMgQ+XIUFRVFnp6eCustCSMjI7HFtC4uLiIP4ALWrVtHrq6ucuX79etXunfvHl25ckXlYF/yTDSUWdCtra0t9tCqo6NDGRkZKukrCUn1rApubm7Mlwhhrly5Qi4uLqyyqix+VwVVAiO+efOGli9fTnXr1iVNTU3q0KED7dmzR2wBsySSk5PJysqKXF1dSVNTk2mH33//nQYOHMgq+/79e+rSpYuYx7lu3bpRTk4Oq2yXLl2oVatWIg42Xrx4QT4+PtStWzeZesvDj/JCprLATTQ4ODh+OCZOnEjTpk1TSvaPP/6gCRMmKCUbHBwstytaYQoKCmju3LlKP4yFhYXR7t27md89e/YkPp9PVatWpVu3bkmVS01NFSlTnptgXFycRPeSit5Ae/bsybiKzc/PJzc3N9LS0iJNTU3av38/q2xkZCTz1enatWtkaWlJfD6fdHV1RepBEjY2NkydCE80Hj9+rDYTF0kRjf/66y/S1tamUaNGUUREBEVERNDIkSNJR0dH4gREmG3btkl09/r582fGG5WiyDPRKI08Joh8Pl8scrOhoSE9efJEKT3ZkFTPqqCqq1hhFPVWpyyquPIW5vr16zRu3DiysLAgCwsLGj9+POvY4evry7htFW6HhIQEcnBwkKvMhw8f0tGjR+no0aMSv/ZJIj09nerVq0daWlrk7OxMzs7OpKWlRd7e3gqPn4KXG9Kurcr4QuZ7hPM6xcHB8cMxfvx4REREwM3NDQ0aNBDz7MG20Li4uBidOnXCw4cP4enpCS0tLZH9bBFv8/Pz0bNnT1hZWaF27dpisoJFwJIwNDTE3bt3xRb8yoOTkxN27NiBZs2a4ezZs+jVqxf27NmDvXv3Ij09XWQB7fPnzxEYGIh79+4xAav4fD4aNWqE3bt3M+VL84jC4/Fw7NgxBAYGiqQr6k3F1tYWp0+fRt26dbFz507Mnj0bycnJ2LZtG/7++2/cvHlT7vPPz89HamoqqlevLjOyupGREW7cuAE3NzcRD07Xrl2Dn5+fxEjyiiKcrzCHDh3CsmXLGI9GHh4eCA0NRdeuXVnz4/P5MDAwwNatW0WCkmVmZqJq1aoSvWzJityck5ODuLg4ibLSFnQLgqfJ0jUgIAA6OjpM2rFjx9C2bVuRPqHuyNHqwMzMDPn5+SgsLGQiTwv+L92fBQEIVakrdWBoaIj79++jevXqsLOzw8GDB9GoUSM8ffoUtWvXRm5urtx5/fvvv/j7778RFhYGTU1NfPnyBU2bNsX69etRq1YtkWNNTExw48YNuLi4iLTD8+fPUbNmTZme0FSBiHDu3DkRL2qygnwCJQEKW7VqhXHjxuHz58+oW7cunj17BiLC7t27pQb8e/DgAQwMDBhnAKXHurS0NGzYsAG2traYMmWKSDBBgZcsgTc7zusUBwcHxw/A3bt3mWjTDx8+FNknyz1jSEgIYmJi0KZNG1hYWMjtzhEAdu3ahTNnzkBXVxexsbEisjwej3Wi4evri7i4OKUmGq9fv4a9vT0A4Pjx4+jVqxc6dOgAR0dHkWjfjx8/hoeHBwoKCuDu7s5EjE5NTUViYiLjxQUo8QIj7BVGmMGDBzMPkv/++6/C+gLAhw8fmPyjoqLw888/Q19fH506dUJoaCirrKB9BOjr6zPtLYuWLVsiIiIC8+fPB1DSLsXFxQgPD2d1fasOunfvju7duyslO3fuXAwcOBB37tzBnDlzZB4vK3KziYkJBg0aJHHfwoULMWfOHLRr1w56enpYuXIlsrKysHnzZpnlSvKCNGDAAJlylQHhKPDyokpdqQNnZ2c8ffoU1atXh7u7O/bu3YtGjRrh2LFjjOcsNgoKCnDkyBFs3rwZZ8+eRcOGDbFmzRr07dsXb968wYwZM9CzZ0/cv39fRE5HR0fM/S1QMt5KcjGrDo9zBQUF0NPTw61bt9C+fXu0b99e5vkJc+HCBfz+++8ASib9RIScnBxs27YNCxYsEJloyHohI2D79u0YPXo0c8zChQuxb98+5uVBVlaWSp7ufggq7mMKBwcHR+XD0NCQjh8/rpSsjY0NLVy4UKmFr+vWrSNbW1uaMmUK7dy5kwliJ9jYqFKlCuPFpUaNGrR3714iKjGNEl4gWa9ePdLR0aE7d+6I5ZGcnEw6OjoiwahMTEzI1dVVZANAVapUYX4LUNQkwM3Njfbs2UO5ublkZWVF0dHRRFRi0mNhYcEqq8oi1jt37pC1tTX5+/uTtrY29ejRgzw8PMjGxkal9TXCqNukh8fjUWZmJl2+fJlsbW3p559/pvz8fHr9+nWZBIMrzwXdqqDuelaGiq4rVdaGCEylzM3NacKECRLHhVevXhGPxxNLHzZsGHXr1o2+ffvGmMY9f/6cvL29JZqeqsvjnJOTE6tJFxu6urrMeDFw4EDGvPb58+ciZpOPHj1i1mi4u7tTt27dqFu3buTu7k4ASE9PjxnrtLS0yM3NjQoKCujly5dUq1Yt4vF4tHPnTiIqGW+EH7X/i6ZT3ESDg4Pjh0UZF6bVq1eXa0GyJMzMzJR+WJXkElde17hjx44lBwcHateuHVlYWDALhXft2kXe3t7McRoaGrRgwQKp+cycOZO5CY4aNYo0NDTEXJMCkDjxUfQGunbtWtLU1CRTU1OqW7cu82C2atUqat26NausKotYiYhycnJowYIF1LNnTwoICKDff/+d/v33X7lk5UHwAGxqaioWnVna9v/au/N4KtP/f+Cvc8hOVFoUZWtRTKrRopWmRWmbT820KVJpNUnbtNIypkWZMtWUkqZ1pMVMqzJCK4p2kaKmVWkh4bh+f/i5v46zco4l3s/Hw+OR69zXfV9H3Oe+7vt6v9/S8Pl8LuvNkydP2DfffMPat2/Prly5UiETjcoM6FZERU405E0VW91+VmWJDXFwcGD79+9nubm5ErfJz8/nsmmVlJWVxfr27cv09fWZiooKMzY2ZnXq1GE9e/as0AvonTt3MicnJy7LVVnIe3OjrDdkihNTFOvfvz/j8XgsODiYJhqMYjQIITVQZmYmRo0ahcjISPB4PDx8+BBmZmZwc3ODgYGB1KJuu3fvxunTp7F7925oaWmV6bhz5syBoaEhfv75Z0XfQpnk5+cjICAAGRkZmDhxImxtbQEAGzduhK6uLtzd3QEULRO6du0avv32W7H7uXjxInr16gWgaP3wjRs34OTkBF1dXcTExMDU1BQ8Hg/Hjx8XKT5YnrXHcXFxyMjIwHfffcf1/eeff6Cvry+zcFexhIQE7N69myvUNWbMGEyaNEmo4FZlc3JyQlBQUJmKy0krvMbn8/HixQs0bNgQQFFMytixY3H+/HlkZ2dLrYReHioqKnjx4oXQEhhdXV0kJSXB1NRUqcdSRPHPuUmTJkrZX3Z2NhYsWIDDhw+LjdUR93Ouqp9VVceGFIuJiUFSUhI+ffqEDh06yBUroQhbW1ukpKQgPz8fzZs3FznPSKtI/vvvv8PT0xM6OjowMTHBjRs3wOfzsXnzZoSFhXFLnFRVVeHj48Mtsypt2bJlQksvDx8+jP/9739C2wwePBgnT57EvHnzsHbtWm5pVW2M0aCJBiGkxnFxccGrV6+wc+dOtGnThgtUPHPmDLy8vHDnzh2JfW1tbZGamgrGGFq0aCES0C3tg2z27NkICQnBN998AxsbG5G+8lQlr0gqKirYvHkzpk+fLvb1DRs2wNvbG8D/fQgWFBTA0dERsbGx8PHxwZIlS5Q20ShJIBDg1q1baN68OQwMDMrUtyxBrKdPn4aOjg66d+8OAAgMDMSOHTtgZWWFwMBAuY+dm5uLvLw8oTY9Pb0yjVtePj4+mDdvnsjEd/ny5bh48aLS14BXZkC3JAKBAMeOHeMC59u2bYshQ4ZARUWlwo45Y8YMREZGYuXKlRg/fjwCAwPx7NkzbN++HX5+fmKre1fVz2rlypVCsSFnzpzB6NGjZcaGnDhxQu5jlP4bLyk9PR2NGjUSet9AUaB2RkYGTExMhNplJScoSdrPysfHR2rf5cuXS31dnpsbZbkho6enh0GDBmH//v0i2zk5OeHUqVMAQBONqh4EIYQoU8mMRiUzojx69Ag2NjZSM7Eo8kEmLZiYx+NxmUckiYqKwvr167mLKysrK8ybNw89evSQ2i8kJETq68VBvy1btsSrV6/w9OlTocwoAPDhwwcYGxtzAZ6lPwSL7wYWFBQoZaLx008/wdraGpMmTYJAIECvXr1w6dIlaGlp4e+//0bv3r2l9hcXxDpp0iShINaEhASRIFZra2v8+uuvcHJywq1bt9CpUyfMnTsXkZGRaN26NXbv3i3xmDk5OZg/f36Z7niXfr08F88XL15Et27duExIxQoKCnDp0iX07NlTav+ycnV1lWs7aT8rRaSkpGDQoEF4+vQpWrVqBaAo84+xsTH++ecfmJubV8hxTUxMEBISgt69e0NPTw8JCQmwsLDA3r17ceDAAZw8eVKkT1X9rCwtLeHt7Y2pU6cCACIiIjBo0CB8/vwZfD5fYj9pr5XE4/Gk/j7z+Xy0adMGJ06cEPr/kJQJTd6fE1Bxv1fF8vLykJaWBnNzc5G/KaBsN2TGjBmDy5cv49GjR2K3HThwICIiIpCfnw+gdk40KEaDEFLj6OjocEX3Sq7jvn79OqtXr15VDk2ivXv3MlVVVTZq1CgWEBDAAgIC2KhRo1idOnXYvn37pPbV19cX+iquIK2uri60/v/atWuMz+czFRUVNnDgQPbzzz+zRYsWsf79+zMVFRXG4/Gkrh9+/vw5O3TokNhicWVde9y0aVOuXsHRo0eZkZERe/DgAVuyZAnr1q2b1L6KBLFqa2tzVcWXL1/Ovv/+e8ZYUR2BRo0aST2uIsXRHj58yCwtLZmWlhaztbVltra2TEtLi7Vq1UpmXE/JGI2S3rx5UyExGlVt4MCBbMCAAULr8N+8ecMGDBjAnJycKuy42tra7MmTJ4yxot/P4uJ9jx49UlqNFWWp6tgQHo/Hvv/+e1avXj0WERHBtb948ULs352yXb9+natHExcXJ1ef7Oxs5ubmxlRUVJiKigr3uTBz5kz2yy+/cNtZWlqyunXrij3PvX//nunp6VEdjTKgiQYhpMYZOHAgW7JkCWPs/4qFCQQCNnLkSO7Csrpp3bo18/f3F2nfsGEDa926dZn3l5yczBwdHUUCFaOioliDBg2EghkBsPr167Pw8HCZH4KTJk3iLsZKKusHaMmLosmTJ3OZah49eiSUKUscRYJYDQwM2J07dxhjjNnb27Pt27czxhhLS0tjmpqaUo+rSHE0RS6eeTyeSBE8xhh78OCBzJ/V10hLS4slJSWJtN+8ebNCL/itra253xlHR0c2d+5cxhhjAQEBrGnTphV23PKozMKIko7/8uVL5u/vz9TV1bnMVxWVCa1YRkYG6969O+PxeFwiBR6Px+zt7WVOsmbPns06duzIoqOjmba2NjfROHbsGGvfvj23naI3ZKShiQYhhNQAiqQwLSgoYOvWrWPffvsta9SoUZmyA3369IktWbKEde3alZmbmzNTU1OhL2nU1NTEVsd9+PAhU1dXl/2mxbh+/Tpr1aqV2NcePXrEdu3axXbt2sX9TOT5EATAwsPDRdrL+gFqYmLCzpw5wwoKCpixsTGXUvj27dtMX19f3rdYZs7Ozqx///7M19eX1alThz19+pQxxtiZM2eYpaWl1L6K3PEuz8Xz8OHD2fDhwxmfz2dOTk7c98OHD2dDhgxhLVq0YP3795f5nr82BgYGXLrmkmJiYmT+DSpCkVSxlY3H44n8ThRnYCvZJsu///7LBg8ezMzNzZm5uTlzdnZmFy9elOv4xU/ZTp48yerWrcvc3d1Zenq62ImGra0te/v2LWOsKKtT8VM9cV/S9O/fn3Xu3Jndv3+fa7t//z7r2rWrzL8FExMTdvnyZcaY8JPuhw8fikzY5b0hA4BZWloKpTiWpjZONKhgHyGkxmnXrh2Sk5OxZcsW6Orq4tOnTxgxYgRmzJghM0ONj48Pdu7ciblz52LJkiVYvHgxHj9+jGPHjmHZsmVS+7q7uyMqKgrjx49HkyZNylTsz9jYGOfPn4eFhYVQe0REBFeMr6xUVVUlFtQzNTWVmhVHV1dX4mvOzs7ceyssLCzX2FxdXTFq1Cju51Screbq1atcIUFJMjMzUb9+fQBARkYGduzYgc+fP2PIkCEy41m2bNmC6dOnIzQ0FFu3bkXTpk0BAKdOncKAAQOk9lWkOJq6ujo+fvwo0v7p0yeoqamJ7VNcdI8xBl1dXaGMQmpqaujSpQsmT54s9bhfo8GDB2PKlCkICgqCnZ0dgKLfCw8PD6kByoqaM2cO9+++ffvi/v37iI+Ph4WFBWxsbCrsuOWhjMKIf/75J1xdXTFixAiumGhsbCwcHR0RHByMMWPGyLWfgQMH4tKlSxgyZAiuXbsmdpuhQ4dygePDhg0r0zhLioqKwqVLl7jYHQBo1aoVNm/eLPNv//Xr11zmtpKys7NFztU9e/bE69evkZaWhn///ZdrMzc3R3Z2ttC26enp8PDwwOzZs9GvXz+sXbtWqPhprVfVMx1CCFG2J0+eSKyZIW7ZT0lmZmbc3XUdHR3ubn9AQAAbPXq01L5169ZlMTEx5RgxY7///jtTU1NjHh4e3NrjqVOnMnV1dZl3y0oX9zt27BjbunUra9u2LRswYIDcYyh5tw0Aa9iwIXN3d+e+Jk2axACw7777jmsT11feO3V//fUX8/f3F1ryEBwczI4dOyZ2+6SkJNa8eXPG5/NZq1at2I0bN1ijRo2Yjo4O09PTYyoqKuzo0aNyv19pfvnlF67AWDFF7niPHz+etW3bll25coUVFhaywsJCdvnyZdauXTs2YcIEqX1XrFhRa+5+MsbYu3fv2JAhQxiPx2NqampMTU2N8fl8NmzYMJaVlaX04wkEAubn58e6devGOnXqxBYsWMDV3qnJFFmuWbIAX7E3b96wnj17VmiMhqWlJfcksaSrV68yc3NzqX179OjBfvvtN8aY8DKzmTNnlunJYOnz5O3bt9mhQ4eYtbU1t6zKyMiI+fj4iBRurI1PNGiiQQipcRQJntXS0uImI40bN2bx8fGMMcZSU1OZnp6e1L4tWrRgd+/eLeeoGQsLC2P29vasXr16rF69esze3l7iRXdJ4gr8NWrUiI0ePbpMhehKfgiGh4czbW1tZmZmxp4/f85tAyUV7Cvp8+fPcm03YMAANnjwYBYTE8OmTp3KmjZtytzc3JhAIGACgYBNnz6dde7cuUzHlkRXV1dmMbiyFEeTdvFc+oJNklevXrHo6GgWHR0tNmajpklOTmYnTpxgJ06cELusUFl8fX0Zn89n/fr1Y0OHDmUaGhoihSproopYrlmauAl7sfIEdB87dozZ2dlxiSSK99OlSxeZNxmio6OZjo4O8/DwYBoaGszT05N99913TFtbW+7jMyZ+olHs/fv3bObMmczAwIABYCoqKqxHjx5i+9JEgxBCvlKSgmcfP37MtLS0pPZt2bIlu3LlCmOsKFi4OBvJwYMHmaGhodS+e/fuZf/73/9YdnZ2OUdetUp/CH7+/JnZ2dkxVVVV9vvvvzPGlDfRKCgoYL6+vszIyEgoA8ySJUvYzp07xfapX78+d1H/8eNHxuPxhC4Q7t27x+rWrVvWty1W6arTeXl5zMHBgctmVl4PHz4s88VzdnY2c3V15QJReTweU1VVZW5ubl/t71p1YmFhIfTU8Ny5c0xNTU3kbnRNY25uLvZp6datW5mFhYVSjiFuwq5IQLe+vj43SS85YVdTU5Mrni4lJYW5u7uzb7/9lrVp04aNHTtWbOyUNNImGiVFR0ez7t27MxUVFbF9a8tEg2I0CCE1hpeXF4CiHPBLly4VKnAmEAhw9epVtG/fXuo+hg8fjvPnz6Nz586YNWsWxo0bh6CgIKSnpwut4S5ma2srtL43JSUFjRo1KnOxv+vXr6OwsBCdO3cWar969SpUVFTQqVMniX1jYmK4AnTKpKGhgatXr2LDhg2YNWsW9u7dq7R9r169Gnv27MHatWuF4gzatWuHTZs2YdKkSSJ93r59i8aNGwMAdHR0oK2tLVRgz8DAQGwchDLUqVMHSUlJ5e7v6+sLb29vWFhYCMXhfP78GevWrZMa/zNnzhxERUUhPDycKyoWExOD2bNnY+7cudi6dWu5x1VdeHl5YeXKldDW1ub+jiVRduHL9PR0ODk5cd/37dsXPB4P//33H5o1a6bUY1Unc+fOxezZs3Hz5k1069YNQFGMRnBwMAICApRyDCamVJu7uzvy8/Nx7949oToprq6ucHd3x+nTpyXub9OmTQqNx9zcHDt27FBoH/Lq3r07oqOjyx3HVlPQRIMQUmPcuHEDQNGH261bt4SCbNXU1PDNN99whZYk8fPz4/79ww8/wMTEBJcvX4alpSWcnZ1FtlcksLGkGTNmYP78+SITjWfPnuHXX3/F1atXJfZ1cHBA06ZNMXr0aIwdO1akGrai5s6diyFDhqBXr17g8XgiE6jyCAkJwR9//AFHR0d4eHhw7d988w3u378vsV/poM2yBNwrqnjSWfJ3RF4+Pj7w8PAQqe6dk5MDHx8fqRONI0eOIDQ0VKiIoZOTEzQ1NTFq1KgaMdG4ceMGV9Ss+O9YnIr4/y4oKICGhoZQW506dbjx1FTTpk1D48aNsWHDBhw+fBgA0KZNGxw6dAhDhw6tsOMqEtAtLgheHD8/P2RlZQklaVBRUcHz589FAsIzMzPRsGFDmQU3xenRowcaNWokdRt5iyTWVDTRIITUGJGRkQCKMhoFBARAT09P4X127doVXbt2lfi6tErhZXH37l106NBBpN3W1lakunVp//33Hw4ePIgDBw7Az88PNjY2GDt2LEaPHq20O7KWlpYSM1iVx7Nnz0QybAFFWaykXeBNnDiRy16Tm5sLDw8Prrruly9flDY+cQoKCrBr1y5ERESgY8eOIlV9pd1pZ4yJvUhOTExEvXr1pB43JydH7MVMw4YNkZOTI+foq7fiv93S/64MjDGh3ytA9HcLAMLCwip1XJVh+PDhGD58eKUe09jYWOzfuEAggJGRkVKOsWbNGowaNUpooiHu6QpQdN6QlPlNllOnTtWO6t4KoIkGIaTG2b17N/fvjIwMAJCaIvbEiRNy71taek1Flj+pq6vj5cuXMDMzE2p//vw5VFWln6obNGiAmTNnYubMmUhLS8P+/fuxZ88eLFq0CD179sSFCxfkeGei8vLycOnSJXTv3h2qqqr48OEDli9fDoFAgClTpqBdu3bl2i8AWFlZITo6Gs2bNxdqDw0Nha2trdg+pe9mikvn6eLiUu4xyXL79m1uMpicnCz0mqQ77QYGBuDxeODxeGjZsqXQdgKBAJ8+fRJ6oiNO165dsXz5coSEhHB33j9//gwfHx+pk2AiH2Wkiv2axcXF4d69ewCK/i47duxYocdbt24dZs2ahcDAQO6cGBcXB09PT6xfv14pxyg5qfjtt98AFP2N7ty5Ezo6OtxrAoEAFy9elJlSW5qKPE/WBDwmaYpHCCFfqYKCAvj4+OC3337Dp0+fABSt6Z81axaWL18usvSn9KNtHo8ncver+AJR2uN1Ozs7zJ8/H//73/+E2sPCwmQufxo9ejSeP3+O48ePc/UTsrKyMGzYMDRs2JBb2iAPgUCAU6dOYenSpUhKSpJ7SUB2djb3Ibx3715MmDABhYWFUFdXR1RUFHr16sU9NeDxeNi9ezd3kVay76dPn2Te5Tt+/DgmTJiARYsWwdfXFz4+Pnjw4AFCQkLw999/47vvvpP7/VYEJycnBAUFyay7IsuePXvAGIObmxs2bdrE/d8CRcv5WrRoIXOycOvWLQwYMABfvnzBN998A6DoSYiGhgbOnDmj9KVyVWHEiBFyb1sTnyxUhadPn2L06NGIjY3l7vxnZWWhW7duOHjwoFKehurq6iIxMVHoBoqBgQFycnJQUFDA3UQp/nfp88bbt28VPm5xvaAnT56gWbNmUFFR4bYr/hv09fUVuUEkSWWeJ2sCmmgQQmqcadOmISwsDL6+vtxF3OXLl7FixQoMGzZM6pr2iIgILFiwAGvWrBHqu2TJEqxZs0bqBbCOjg6SkpJEnkqkpaXBxsZGaqDys2fP0LNnT2RmZnJ39G/evIlGjRrh3LlzchXti42Nxb59+xAaGorc3FwMHToUY8eOlVmIrljJD8H69etDQ0MDmzdvhq+vL+7evYuGDRviwYMH4PP5sLKywvv375GZmSnSV94P0OjoaPj6+iIxMRGfPn1Chw4dsGzZMvTr10+u8SoqNzcXeXl5Qm3KWG4nTlRUFOzt7WU+nZIkJycH+/bt4+JX2rRpg7FjxwoV8fuaubq6yr1tySeWpPwGDBiArKws7NmzRyQoW09PT2pQtrzETdj37Nkjd395YzJKEzfB6dOnD8LCwoQSSJRHZZ8nv3pVk+yKEEIqjp6eHjt58qRI+z///COzFkbbtm1ZdHS0SPvFixdlFrGqV68eu3Tpkkh7bGws09fXlzHqotSH27dvZ9OnT2dz585le/bsYXl5eTL7LVy4kLVo0YKpqamxQYMGsf3795cr7WnJ1Is8Ho+Fh4czxhjLzMxkANiuXbu4bY8dOyZUmKssaRvz8/OZj4+PzFSWFSE7O5vNmDGDGRoaMj6fL/IlTe/evVmfPn0kfkkTHx8vlEbz2LFjbOjQoWzRokXsy5cvUvvu379f4mve3t5S+xIiiYaGBktISBBpj4uLY5qamjL7FxQUsNDQULZy5Uq2cuVKFhYWxgoKCipiqGVWOj01Y4xduHBBKfuurPNkTVG7Q+EJITWSuro6WrRoIdJuamoqM+gvNTVVKICwWN26dfH48WOpffv164dFixbh/fv3XFtWVhZ+/vlnuZYCaWtrY8qUKQgMDMT69evh4uIissxr0KBBeP78uVDbxYsXMW/ePDx79gx///03Ro8eLZLdqDyKg2OL4wJK/uwUyTylqqqKtWvXoqCgQLEBlsO8efNw4cIFbN26Ferq6ti5cyd8fHxgZGSEkJAQqX3bt2+Pb775hvuysrJCXl4eEhISYG1tLbXv1KlTubiOR48e4YcffoCWlhb++usvzJ8/X2rfadOm4dSpUyLtc+bMwZ9//injHRMiniJB2SkpKbCysoKLiwvCwsIQFhaGcePGoW3btkhNTZV7DLm5ufjw4YPQV0UZMGAAzM3NsWrVKi52Txkq6jxZY1T1TIcQQpTNx8eHjR49muXm5nJtubm5bOzYsWzFihVS+/bo0YN999137MWLF1zbixcvWL9+/VjPnj2l9n369CkzMzNjdevWZb1792a9e/dm+vr6rFWrViw9PV2xN/X/ibtTpywl77bp6+uzli1bsuvXr7M+ffqwOnXqMEtLS27bdu3aCT0dKuuduiFDhrDg4OAKeR/SGBsbs8jISMZYUTGx4qJ5ISEhbODAgeXa5/Lly9ncuXOlbqOnp8dSUlIYY4z5+fmxfv36McYYi4mJYc2aNZPa9++//2Z169YVetI2c+ZMZmRkxO7du1euMVc3tra27O3bt4wxxtq3b89sbW0lfhHlUKTK9sCBA9mAAQNYZmYm1/bmzRs2YMAA5uTkJLXvp0+fyv1UUV4DBw5k//33n1Db69evmb+/P/vmm2+Yqqoq69evHzt06JDMJ4rixl9Z58magGI0CCE1TnHRPXV1daHg2by8PDg6OgptWzqwNCUlBcOHD0dycjIXF5GRkQFLS0scO3ZMbErWkrKzs7Fv3z4kJiZCU1MTNjY2GD16tNLubIlbe1zs7t27SE9PF4k7kJYpq/TYi9cPb9u2DdOmTePSsh49ehRjx47F58+fARSloV27di3mzZsn0leetcfbtm2Dj48Pxo4dKzZVrLxjLisdHR3cvXsXJiYmaNasGcLCwmBnZ4e0tDRYW1tzyQPKIiUlBXZ2dlIDV/X09BAfHw9LS0t89913GDx4MDw9PZGeno5WrVpxP1dJ9u/fj5kzZ+LcuXMICgrC8ePHERkZiZYtW5Z5vNWRj48P5s2bBy0tLfj4+EjdVlkppWs7RYKytbW1ceXKFZEneYmJibC3t5f6dzRjxgxERkZi5cqVGD9+PAIDA/Hs2TNs374dfn5+GDt2rNRxCwQCHDt2jMuU1bZtWwwZMkQoyFuWhIQE7N69GwcOHAAAjBkzBpMmTeI+L6SpzPNkTUATDUJIjaNoYCljDOfOnRMKvC2uFlzVxE00Hj16hOHDh+PWrVtCGbPkyZRVUukPwezsbJw9exZ9+/ZF48aNkZWVhZ9++gnZ2dlwc3PDwIEDJfaV9QEqrYgVj8crV/EsedjY2GDz5s3o1asX+vbti/bt22P9+vX47bffsHbtWjx9+rTM+9y7dy8WLFggtc6Ig4MDjI2N0bdvX0yaNAl3796FhYUFoqKiMGHCBJnL8gDg999/h5eXFwwNDREZGSlz0kuINIoEZderVw9///03V1G8WGxsLJydnaVOuk1MTBASEoLevXtDT08PCQkJsLCwwN69e3HgwAGcPHlSYt+UlBQMGjQIT58+FQpgNzY2xj///ANzc3O539N///2HP/74A35+flBVVUVubi66du2Kbdu2Sc3kVpnnyZqAJhqEEKKAEydOYODAgahTp47MehzKuEsvbqLh7OwMFRUV7Ny5E6amprh27RoyMzMxd+5crF+/Xma13WKKfAh+LR+gGzduhIqKCmbPno2IiAg4OzuDMYb8/Hz4+/vD09NTYt/SKVgZY3j+/Dni4uKwdOlSqXfak5KSMHbsWKSnp8PLy4vbdtasWcjMzMT+/fuFtvfy8hK7n7/++gsdOnQQuqCSVijwa1bZ9R2IeH5+fvDw8BCKXXNxcUFCQgKCgoJgZ2cHoKhe0OTJk9GxY0cEBwdL3J8iTxWdnJzAGMO+ffu4QpeZmZkYN24c+Hw+/vnnH6nvJT8/H8ePH8euXbtw7tw5dOrUCZMmTcLo0aPx+vVrLFmyBAkJCVKLpNaG86Qy0USDEFJjvX79Gg8ePAAAtGrVCoaGhnL1y87ORlRUlNhlSLNnzxb6ns/n48WLF2jYsGGl3KUXN9Fo0KABLly4ABsbG9StWxfXrl1Dq1atcOHCBcydOxc3btyQa98fPnzg6jycPHkS/fr1k7gc4dWrVzh06BBmzZpV5r7VyZMnTxAfHw8LCwvY2NhI3bb0kzI+nw9DQ0M4ODiUOyVvbm4uVFRURJbW9enTR67+PB6v3AUZq6vKqO9A5Kenp4ebN28KnXOysrIwYcIEhIeHc7+7BQUFGDJkCIKDg4XqxZSmyFNFRZZszZo1CwcOHABjDOPHj4e7u7tIMb0XL17AyMgIhYWFEvdTG8+TCqn8sBBCCKlYnz59Yq6urkxFRYXxeDzG4/GYqqoqc3Nzk5n2NSEhgTVu3Jjp6ekxFRUVZmhoyHg8HtPW1mampqaV9A4kExcMrq+vzx49esQYY8zMzIxL45iSkiJXmkrGGDty5AgzMjLiAhUBsGbNmrEjR46I3f7QoUOs+COkLH3Pnz/P2rRpw96/fy/yWlZWFrOysmJRUVFyjbms8vLymIODA0tOTq6Q/Ve1jIwMJhAIqnoYCuvfvz/r3Lkzu3//Ptd2//591rVrV9a/f/8qHFntJC0BRXJyMjtx4gQ7ceIEl1hBFn9/fxYQEMAYY+zcuXNMQ0ODqaurMz6fzzZt2iS1r4GBAYuNjRVpj4mJYQYGBlL7Ojg4sP379wslCSktPz+f/fvvvxJfr6zzZE1CEw1CSI0zZcoUZmZmxk6ePMnev3/P3r9/z/755x9mbm7OPDw8pPbt1asXmzx5MhMIBNwHbHp6OuvZs6fUD4TKuohds2YNe/funVBb9+7duSwxo0ePZgMGDGAxMTHMxcWFtW3bVuY+jxw5wng8ntAHIP5/jngejyf2fRd/gJa1r7OzM/P395c4loCAADZs2DDZP4hyatCggUL/R+/evWM7duxgCxcu5DLuxMfHs6dPn4psa2BgwF6/fs0YK5oMGhgYSPxSBl1d3QrLSFaZFK3vQJSrIjPdMcbY48eP2ZEjR1hiYqLMbcePH8/atm3Lrly5wgoLC1lhYSG7fPkya9euHZswYUKFjZGxyj1P1iS0dIoQUuM0aNAAoaGh6N27t1B7ZGQkRo0ahdevX0vsq6+vj6tXr6JVq1bQ19fH5cuX0aZNG1y9ehUTJkzgAsTFMTQ0xKVLl2BpaVnmMe/ZswcNGjTAoEGDAADz58/HH3/8ASsrKxw4cADNmzeX2PfMmTPIzs7GiBEjkJKSgsGDByM5ORn169fHoUOH4ODgILGvQCBAixYtZAZBlw6EL/7oaNasmcS+PB4PzZo1Q1paGrc8oHnz5jh9+jTatGkjts/9+/fRr18/pKenSx1Pec2ZMwfq6urw8/Mrc9+kpCQ4OjpCX18fjx8/xoMHD2BmZoYlS5YgPT1dpA7Hnj178OOPP0JdXV1m4G15KyCXJC0j2dekZcuW+PPPP7m1/8WuXbuGMWPGICUlpYpGVjsV/15t2bIFK1euhLa2tsQYomLi4oYKCwuxbt06nDhxgssAuHz58jJVty/rki1ZcXMlSYuhq+zzZE2iWtUDIIQQZcvJyUGjRo1E2hs2bIicnBypfevUqcPFWjRs2BDp6elo06YN6tatK7PI07hx4xAUFFSui9g1a9Zg69atAIDLly8jMDAQGzduxN9//405c+aIpOEtqX///ty/LSwscP/+fbx9+xYGBgYyM2VFR0fLlWlp4MCBQkW8UlNTERkZKbUvYwwZGRmIjo7mJn0vX76UmupXVVVV6kRQUQUFBdi1axciIiLEptWVFljt5eUFV1dXrF27Frq6uly7k5MTxowZI7J98eShoKAAPB4P/fv3F/t7SYStW7cOs2bNQmBgIDp16gSgKDDc09MT69evr+LR1V43btzgCvxJi/uSdM5ZvXo1VqxYgb59+0JTUxMBAQF49eoVdu3aJfcY9PX1cfz4cTx8+FAoK6CkDGzDhg2Ta7+yYugq+zxZk9BEgxBS43Tt2hXLly9HSEgIV6318+fP8PHxQdeuXaX2tbW1xfXr12FpaYlevXph2bJlePPmDfbu3SsSOFiaIhexGRkZ3IflsWPH8P3332PKlCmwt7cv14dPcUYWWUpXGZdk3LhxGD16NPf94cOHERkZWeZjNG3aFLdv35Z4YZCUlIQmTZrItd/yuH37Njp06AAAXKXuYrImZdevX8f27dtF2ps2bYoXL15I7KeqqgoPDw8ugxKRbuLEicjJyUHnzp1F6ju4ubnBzc2N21ZaGlWiXCX/3uX92y8pJCQEv//+O6ZOnQoAiIiIwKBBg7Bz506piTTEsbS0lOvJsbSg7rKo7PNkTUITDUJIjRMQEID+/fujWbNmQgX7NDQ0cObMGal916xZg48fPwIougPn4uKCadOmwdLSUuadN0UuYnV0dJCZmQkTExOcPXuWW5qgoaEhs5jb8OHDxe6fx+NBQ0MDFhYWGDNmDJd3viR5L+pLb9e8eXM0bdoUz549K1NfJycnLF26FAMGDOAmgcU+f/6M5cuXY/DgwXKNqTzKc4FUTF1dHR8+fBBpT05OlpnRzM7ODjdu3JC6BI4U2bRpU1UPgZTQo0ePMi1vkiQ9PR1OTk7c98W1if777z+pmcS8vLwUWrKlDJV9nqxJKEaDEFIj5eTkYN++fUKP18eOHauUD0xFPX36FEZGRkJ38caOHYv79+/D1tYWBw4cQHp6OurXr48TJ07g559/xu3btyXub+LEiTh27Bj09fW5WgMJCQnIyspCv379kJiYiMePH+P8+fOwt7cX6lu89vjZs2cQ93Egbf1wefq+fPkSHTp0gIqKCmbOnMlNfu7fv4/AwEAIBAIkJCRUyyVG7u7uyMzMxOHDh1GvXj0kJSVBRUUFw4YNQ8+ePaVeIB8+fBiLFi3CnDlzxD7tkpVaVx7i0pASIk1ZqmyXriMjjbilnioqKnjx4oXQpFxXVxdJSUkwNTWVuK8+ffrg6NGj0NfXl5r2WZ5Uz1FRUVi/fr1QfZZ58+bJrDVU2efJmoQmGoQQUskk5aVfsmQJMjIyMG3aNAwYMAAAsHz5cqipqWHx4sUS97dw4UJ8+PABW7Zs4SYvhYWF8PT0hK6uLlavXg0PDw/cuXMHMTExIv3DwsLwv//9DwCEPgiLn5KEhoZKvMgoT98nT55g2rRpOHPmjFAV8/79+yMwMFDqRYei+vTpI/XpkrQLlffv3+N///sf4uLi8PHjRxgZGeHFixfo2rUrTp48KbX4lrilIcVV3CuyxsrXLjc3V6SWjZ6eXhWNpmYpa5Xt0nVkpNm9e7dIG5/Px8CBA6Gurs61hYeHw8HBQehvR1o8miL+/PNPuLq6YsSIEdwNl9jYWBw9ehTBwcFi46xKquzzZE1BEw1CSI308OFDREZG4tWrVyLrdJctWyax38uXL+Ht7Y3z58/j1atXInegquMFoaGhIWJjY9GyZUuh9uTkZHTr1g1v3rzBrVu30KNHD2RlZYndR1hYGDw9PYWCFg0MDLBz507uA3DdunVYs2YN8vPz0a1bN5w9e1ZiX2NjY2zatEnqh+e7d++QkpICxhgsLS1hYGBQ3h+B3ObMmSP0fX5+Pm7evInbt29jwoQJCAgIkLmPmJgYJCUl4dOnT+jQoQP69u0rs8+TJ0+kvq6MJVUZGRkwMjL66u+KZmdnY8GCBTh8+DAyMzNFXlfG3yBRvMp2Wck7URE3SVGGNm3aYMqUKSLnAH9/f+zYsUOuGKqqOE9+7WiiQQipcXbs2IFp06ahQYMGaNy4sdAdbB6Ph4SEBIl9Bw4ciPT0dMycORNNmjQRufs9dOhQhccnaaIRHR2N7du349GjR/jrr7/QtGlT7N27F6ampujevbvE/RkYGGDPnj0i6RlPnDiBCRMm4N27d3j48CHs7Ozw7t07ifsRCASIjo7G8+fPMXPmTFhZWSE6OhoAcPHiRfTq1Qv169dHs2bNkJiYiGHDhuHo0aMifZs0aYIePXp8VRe8K1aswKdPn6ptVqO4uDgcPnxYbLX6iroDXFVmzJiByMhIrFy5EuPHj0dgYCCePXuG7du3w8/PD2PHjq3qIdYIilTZrkyKLtkqpq6ujjt37ogkokhJSUG7du2Qm5sr1zFq83myPCgYnBBS46xatQqrV6/GggULytw3JiYG0dHRaN++vfIHJsWRI0cwfvx4jB07FgkJCfjy5QuAouU6a9aswcmTJyX2HT9+PCZNmoSff/4Z3377LYCiDElr1qyBi4sLgKK1yW3btpU6BhUVFS7D1fjx4zF+/HjuNV9fX2hoaODNmzcAiuJCDh06JLbv12jcuHGws7OTOdE4f/4897Sr9JMyedJ03r17V+xkQVoO/4MHD8LFxQX9+/fH2bNn0a9fPyQnJ+Ply5cYPny4zGN+bcLDwxESEoLevXvD1dUVPXr0gIWFBZo3b459+/bRRENJ1NXVucQXJX369Alqamoi7R06dMD58+dhYGAAW1tbqUsQpd3MKavStTHKy9jYGOfPnxeZaERERMDY2Fju/dTm82R50ESDEFLjvHv3DiNHjixXX2NjY7EBexVt1apV2LZtG1xcXHDw4EGu3d7eHqtWrZLad+PGjWjUqBHWrl2Lly9fAgAaNWqEOXPmcJOtfv36cXEf8hAIBFzGLqDowqG4pgEAuLi4yCxC9zW5fPmySBas0nx8fODr64tOnTqJfdolzaNHjzB8+HDcunWLi80A/m+NtrTlQGvWrMHGjRsxY8YM6OrqIiAgAKamppg6dWqNzFTz9u1b7mmfnp4el8K2e/fumDZtWlUOrUYZPHgwpkyZgqCgIK444tWrV+Hh4SF24jt06FAuvkLe+hTKoKylVHPnzsXs2bNx8+ZNdOvWDUBRjEZwcLBcSybFqW3nyXKplPrjhBBSidzc3NjWrVvL1ffMmTOsX79+LC0tTbmDKkFXV5elpqYKtWlqanLH1NHR4V5PTU1l6urqcu/7/fv37P379wqPkc/ns127djHGGMvPz2cA2PLly7nXw8PD2df4ETJ8+HChr2HDhrHOnTszFRUVtmLFCql9GzduzEJCQsp13MGDB7OhQ4ey169fMx0dHXb37l0WHR3N7Ozs2MWLF6X21dLS4n436tWrx5KSkhhjjN29e5c1bty4XOOpzqytrdm///7LGGPM0dGRzZ07lzHGWEBAAGvatGlVDq1GeffuHRsyZAjj8XhMTU2NqampMT6fz4YNG8aysrKqengVIiwsjNnb27N69eqxevXqMXt7e3bs2LFy76+mnieViZ5oEEJqHAsLCyxdupRbf1y6EvXs2bOFvi9dQTs7Oxvm5ubQ0tIS6auMAmFMzBOTxo0bIyUlBS1atBBqj4mJKVPQuLIy8hgbG2PhwoWwsrLCmjVrAADTp0/nXo+KipL5BKA6Kr0Mg8/no1WrVvD19UW/fv2k9s3Ly+PuhJbV5cuXceHCBTRo0AB8Ph98Ph/du3fHL7/8gtmzZ0uttGxgYMAtcSkueGhtbY2srCyZle6/Rq6urkhMTESvXr2wcOFCODs7Y8uWLcjPz6+wOgm1UVmrbIsTFxcnlCq2OL22Milzydbw4cOVutywpp4nlYkmGoSQGuePP/6Ajo4OoqKiEBUVJfQaj8cTmWhUdoGwu3fvwsjISKht8uTJ8PT0xK5du7giVpcvX4a3tzeWLl0qc5+hoaESg4XLs176zz//hIODA7p06QIA+PHHH9GwYUOh19u0aVPm/VY1RZZhuLu7Y//+/XL9f5QmEAigq6sLAGjQoAH+++8/tGrVCs2bN8eDBw+k9u3ZsyfOnTsHa2trjBw5Ep6enrhw4QLOnTsHR0fHcr2X6qxkVqC+ffvi/v37iI+Ph4WFhVLqjRBh8lbZLunp06cYPXo0YmNjoa+vD6AoRXe3bt1w8OBBqQX4ykrZS7aUOTmqqedJZaKsU4QQ8v/l5+dj6tSpWLp0ablrOZQ3OxBjDGvWrMEvv/zC3aVWV1eHt7c3Vq5cKfWYv/32GxYvXoyJEyfijz/+gKurK1JTU3H9+nXMmDEDq1evlth3z549aNCgAQYNGgQAmD9/Pv744w9YWVlh9+7dSExMhIWFBVfxvNjhw4dha2srdIEiEAhw69YtNG/evFJS1ZZXVlYWQkNDkZqainnz5qFevXpckcCmTZtK7Ofp6YmQkBDY2NjAxsZG5GmXtLvtPXr0wNy5czFs2DCMGTMG7969w5IlS/DHH38gPj5eakHGt2/fIjc3F0ZGRigsLMTatWtx6dIlWFpaYsmSJdX6Z10WhYWFWLduHU6cOIG8vDw4Ojpi+fLl1aLIZk2hrCrbAwYMQFZWFvbs2SNUg8PV1RV6eno4ffq0UsetDMqcHH348AEXLlxAq1atYGpqihMnTkg8TzZv3hydO3cWu59bt26JZP2qcap25RYhhFSswsJCVlhYKPf2enp67NGjR+U61oEDB1idOnXY4MGDmZqaGhs8eDBr2bIlq1u3Lps4caJc+/jy5Qu7c+cOu3r1Kvv48aNcfVq1asX279/PGBOO71i6dCmbMWOG1L4tW7Zk58+fZ4wxdunSJaalpcW2b9/OnJ2d2fDhw7nt7t+/zzIyMoT6enp6sp07dzLGGCsoKGD29vaMx+MxbW1tFhkZKdfYK1tiYiJr0KABs7CwYKqqqtzPavHixWz8+PFS+/bu3VviV58+faT2PX36NDty5AhjjLGHDx+yVq1aMR6Pxxo0aMD9/Gs7X19fxufzWb9+/djQoUOZhoYGc3V1reph1Si9e/dm79694/5d3t9nDQ0NlpCQINIeFxfHNDU1K2LoQq5fv85CQkJYSEgIi4uLk6tP//79WefOndn9+/e5tvv377OuXbuy/v37S+07cuRItnnzZsYYYzk5OczS0pLVqVOHqaqqstDQUKH9lT5PNmrUiP39998i+1y3bh3T0NCQa+xfM5poEEJqpD179rB27doxdXV1pq6uzqytreUK5HVxcWH+/v7lOqa1tTXbsmULY+z/LvgLCwvZ5MmT2bJly8q1T3loamqyx48fM8YYMzQ0ZDdv3mSMMZacnMzq1asns++TJ08YY4zNnz+fu9i+ffs2q1evHmvXrh3j8XgMAAPA+Hw+69KlC3v9+jVr2rQpu379OmOMsaNHjzIjIyP24MEDtmTJEtatW7eKersKcXR0ZPPmzWOMCU/KYmNjWfPmzSt1LJmZmSKT4IyMDCYQCITa+Hw+e/nypUj/N2/eMD6fX6FjrEwWFhZs27Zt3Pfnzp1jampqIj8PUvUsLS3Z1atXRdqvXr3KzM3NK+y4GRkZrHv37ozH4zEDAwNmYGDAeDwes7e3F7nAL02RyVGjRo248+q+ffuYhYUFy87OZr///juzsrKSep789ddfmbq6OvPw8GA5OTns6dOnzMHBgRkaGrKwsLDy/zC+EhSjQQipcfz9/bF06VLMnDkT9vb2AIqCqj08PPDmzRuRyrAlWVpawtfXF7GxsejYsSO0tbWFXi8d31FSamoqtwRJTU0N2dnZ4PF4mDNnDhwcHODj4yO0vbIKUTVu3Bhv375F8+bNYWJigitXruCbb75BWlqazFS9Ojo6yMzMhImJCc6ePcstp3j58iXevn2Lt2/fonXr1mjdujUA4P79+7hy5QqaN28OgUCAqKgo/PLLL6hfvz5GjhyJli1bws3NrdzpIiva9evXsX37dpH2pk2b4sWLF5U6luJqzCVZWVnh5s2bQgkAJP0ffvnyRWy9g69Veno6nJycuO/79u3LxSspc80/Udy6deswa9YsBAYGculc4+Li4OnpWaFFL93d3ZGfn4979+6JLNlyd3eXumTL2NgY+fn5Iu0CgUAkZq609+/fc3+vp0+fxvfffw8tLS20a9cOd+/eBQCJ58lnz54hJycHGzduREREBN6+fYvOnTsjKSkJjRs3LtfP4WtCEw1CSI2zefNmbN26lStWBxQVRGvbti1WrFghdaIRFBQEfX19xMfHIz4+Xug1cYHkJZU1O1DJDEiMMRw9ehR169blPrjj4+ORlZUlc0Li4OCAEydOwNbWFq6urpgzZw5CQ0MRFxcns+93330Hd3d32NraIjk5mbvQc3d3B4/HQ1JSEtq1ayfUJykpCZ07d0ZBQQG8vb3h5uaG06dPY+vWrQCAnJycalvtVl1dHR8+fBBpT05OhqGhocz+FV2hu+Sk4rfffgNQ9Hu3c+dO6OjocK8JBAJcvHiRu7CpCQoKCkQy9NSpU0fsxSEpH2Xd3Jg4cSJycnLQuXNnqKoWXUoWFBRAVVUVbm5ucHNz47ZVRqa+YlFRUbh06RI3yQCAVq1aYfPmzejRo4fUvopMjoyNjXH58mXUq1cPp0+f5modTZ48GUBRrIWk82S7du3w7NkzmJmZ4fHjxwCAH374oVZMMgCaaBBCaqDnz5+LTUParVs3PH/+XGrftLS0ch+3rNmBSmZAWrBgAUaNGoVt27ZxF+kCgQDTp0+XmbL2jz/+4KpUz5gxA/Xr18elS5cwZMgQTJ06VWrfwMBALFmyBBkZGThy5Ajq168PAHj8+DEcHR1FPjwBwMbGBosXL8bSpUuhoqKCS5cugcfjoW/fvgCKin5V1wvgIUOGwNfXF4cPHwZQdBGfnp6OBQsW4Pvvv5fat7IrdG/cuBFA0eSj5O8FUPTErEWLFti2bZvSj1tVGGOYOHEil2EIAHJzc+Hh4SH0ZFEZE7raSllVtis7U18xRZ5KKDI5+umnnzB27Fjo6OigefPmXHXv5ORkmJqayjxPamhoQF9fH3///TdiY2Mxa9YsnDx5Etu2basxyRwkoaxThJAap127dhgzZgx+/vlnofZVq1bh0KFDuHXrlsLH0NPTE1niokh2IENDQ8TExAjdqQOKlgV069YNmZmZCo95+vTp8PX1RYMGDWRuy+PxcO3aNXz77bdiX79+/Trs7Ozw119/ISMjAyNHjuSWt+zZswf6+voYOnSowmNWtvfv3+N///sf4uLi8PHjRxgZGeHFixfo2rUrTp48KbJUriQbGxtMnTqVq9CdmJgoVKG79NK48ijeb8nfqz59+iAsLKzGX5C4urrKtZ2yKkWTr8/x48exZs0akacSs2bNwoIFC6Smvy1Lhe4JEyaItMXFxSEjIwPfffcd93SRx+Nhx44dcHd3F7uf4vPkggULsHLlSi5TXWpqKsaNG4eMjAw8ffpU7nF9jWiiQQipcY4cOYIffvgBffv25WI0YmNjcf78eRw+fFgpd59LXxAWFBRg//796N+/Pxo1alTm/RkYGCA4OFjk4vz48eOYOHEi3r17p/CYxU2OLl68KHbb3r17w9PTk7urXtqWLVvg6ekJgUAAoOjO89dUmComJgZJSUn49OkTOnTowD2NkUZbWxt37txBixYtUL9+ffz777+wtrbGvXv34ODgIPNpmTzETTRKKv7Illa0jJDKlJubK7KMUFmFQ0szMDBATk4O9yQC+L+nEqVvEpR3yZafnx88PDy4FLjSqKioYPPmzUJF+krasmULZs+ezT1xLqmwsBCrV68uV12erwlNNAghNVJ8fDw2btzIFWZq06YN5s6dC1tbW6XsX9wFoZaWFu7du4fmzZuXeX9eXl4ICQnBzz//DDs7OwBFS5D8/Pwwfvx4pVREFjdmPp8vsh2Px+M+GD9+/CgUGwAU5ZA3MTGBoaEhXFxcsG3bNrx8+RLJyckwMzPD0qVL0aJFC0yaNEnhMVcnzZo1w6lTp2BtbQ0bGxssWrQIo0ePxuXLlzFgwAC8f/9e4WOImwwCRbFDGzduxMOHDwEUJS346aefJN5JJUQcZVXZzs7OxoIFC3D48GGxT1uLb0Aom6JPJeQh7m+w5LKqko4cOYLPnz/j7du3Es+TDRs2RHJycrnGUhNQjAYhpEbq2LEj/vzzz0o9pp2dHW7evFmuicb69evRuHFjbNiwgbsz3qRJE8ybNw9z585V9lA5pZ+U5Ofn48aNG/Dy8sKdO3egr6+Pfv36wdbWFowxJCQkICIiAoWFhRg5ciSCg4Oxdu1aLigSKFq6tmnTpmo70Th//jzOnz+PV69eidxp3LVrl8R+lVGhW9y9v2XLlsHf3x+zZs1C165dAQCXL1/GnDlzkJ6eDl9fX6Ucm9R8yqqyPX/+fERGRmLr1q0YP348AgMD8ezZM2zfvh1+fn5KGq2o8k4eykLc36C48+Tt27dRWFiI/Px8qefJU6dOIT/18M8AAET+SURBVDs7G1FRUWKTSEhLMFIT0BMNQkiNIy6rEFB0p15dXV0pKUHFPR04fPgwFi1ahDlz5ohNjWtjYyPXvovHr+zlB7KW5ZQUFRWFKVOm4O3bt3jz5o3Qa/Xr18ehQ4cwdepUbN++HY6OjkL7vn//Prp27aqU5V7K5uPjA19fX3Tq1AlNmjQRuaN79OhRiX0ro0J3RkYGjIyMhAK/DQ0N8dtvv2H06NFC2x44cACzZs0S+f8hpKKZmJggJCQEvXv3hp6eHhISEmBhYYG9e/fiwIEDOHnyZIWPoaKWbMl7niwsLMS0adPA4/Fw5MgRiefJevXqwcnJCTk5OcjOzka9evXw5s0baGlpoWHDhnj06JHCY67O6IkGIaTG0dfXl7okoFmzZpg4cSKWL18udumQPMTt/8cffwQgfIeKx+OBMQYejyf3coKKWt9cFo0aNcKzZ8/w6dMnpKWl4d9//wVQdFff3NwcAPDs2TNYWFiI9C2+y1cdbdu2DcHBwRg/fnyZ+5ase8Hn87Fw4cIy9ZcnNa6xsbFIv/z8fC7wtaSOHTuioKCgTGMgpLS4uDhuiamVlRU6duwos8/bt2+5C3E9PT0uHqJ79+6YNm1ahY21qpZsicPn8+Hl5YXevXvj9evXEs+TvXv3hrOzM7Zt24a6deviypUrqFOnDsaNGwdPT89KG29VoYkGIaTGCQ4OxuLFizFx4kQu3uHatWvYs2cPlixZgtevX2P9+vVQV1cXyUwlL3EPgxVJjQsAoaGhEi9Epa2XVkRSUpLQ94wxPH/+HH5+fmjfvj0AwNTUFKampiJ9raysEB0dLbJULDQ0VGmxMMqWl5cnNvWxvAoLC5GSkiJ22VXPnj0l9lMkNe748eOxdetWkTidP/74A2PHji33eyG129OnTzF69GjExsZygc9ZWVno1q0bDh48KLVIopmZGdLS0mBiYoLWrVvj8OHDsLOzQ3h4uFxB1OVVVUu2JElNTeUm+5LOkzdv3sT27dvB5/OhoqKCL1++wMzMDGvXrsWECRPKVNvkq1SZZcgJIaQyODg4sEOHDom0Hzp0iDk4ODDGGAsJCWGtWrWSua+CggJ248YN9vbtW6H26Oholpubq5wBM8YCAgKYjo4OmzlzJlNTU2NTp05lffv2ZXXr1mU///yzUo7h4eHBXr9+LdTG4/EYn89nPB5P6Ktr167s3r17Uvd37NgxVrduXebn58e0tLTYunXrmLu7O1NTU2Nnz55VypiVbf78+czX17dcfS9fvsxMTU3F/rz4fL7UvtbW1mzLli2MMcZ0dHRYamoqKywsZJMnT2bLli2T2nfmzJlMT0+PtW3blk2aNIlNmjSJtWvXjunp6bGZM2eyOXPmcF+EyKt///6sc+fO7P79+1zb/fv3WdeuXVn//v2l9vX392cBAQGMMcbOnTvHNDQ0mLq6OuPz+WzTpk0VNmZjY2MWGRnJGGNMV1eXPXz4kDFWdD4fOHCgUo5R/PdZUsm/sTlz5rCffvqJ/fDDD0xHR4fNmDFD6v4aNGjAkpOTGWOMWVpastOnTzPGGLt37x7T0tJSypirM4rRIITUOJqamkhKSoKlpaVQ+8OHD/HNN98gJycHaWlpaNu2rUjF7p9++gnW1taYNGkSBAIBevXqhUuXLkFLSwt///03V6hJkr1792Lbtm1IS0vD5cuX0bx5c2zatAmmpqZS60q0bt0ay5cvx+jRo4XWCC9btgxv377Fli1bJPY9ffo0dHR00L17dwBFRfh27NgBKysrBAYGSo0dePLkidD3fD4fhoaGcqeqjY6Ohq+vLxITE7lUscuWLUO/fv3k6l/ZPD09ERISAhsbG9jY2HB57YtJy+7Vvn17tGzZEj4+PmLjO6QVQ1MkNW6fPn3kem88Hg8XLlyQa1tCNDU1cenSJZGnj/Hx8ejRo4fIuVGaJ0+eID4+HhYWFnLHopWHjo4O7t69CxMTEzRr1gxhYWGws7NDWloarK2t8enTJ4WP4eTkhKCgIDRp0oRrK/03WHyedHBwgJubG5dqV5x+/fph4sSJGDNmDCZPnoykpCTMnj0be/fuxbt373D16lWFx1yd0dIpQkiNY2xsjKCgIJFH6UFBQdwa+MzMTLEX4KGhoRg3bhwAIDw8HGlpabh//z727t2LxYsXIzY2VuJxt27dimXLluGnn37C6tWrufXC+vr62LRpk9SJRnp6OrekR1NTEx8/fgRQtGymS5cuUica8+bNw6+//goAuHXrFubOnQsvLy9ERkbCy8tLaoGz8mTIKqlHjx44d+6cQvuoTElJSdySsNu3bwu9Jqs2xcOHDxEaGio2LkUWAwMD7v+0adOmuH37NqytrZGVlSXzgi4yMrLMxyNElvJU2S4sLMS6detw4sQJ5OXlwdHREcuXL0fz5s0VPpfIQ9ElWwKBAMeOHeNiUtq2bYshQ4YIJV8QF8iuyN/gmjVruL/91atXw8XFBdOmTYOlpaXULHc1RlU/UiGEEGU7fvw4U1NTYzY2NtxSk2+++Yapq6uz8PBwxhhjv//+u9ilJurq6iwjI4MxxtjkyZOZp6cnY4yxR48eMV1dXanHbdOmDTt69ChjTPjx+61bt1j9+vWl9jU1NWUJCQmMMcY6duzItm3bxhhj7MyZM8zAwEBqX21tbZaWlsYYY2z58uXs+++/Z4wxFh8fzxo1aiS1L2OMRUREsEWLFrFJkyYxV1dXoS/yf/r06cNOnTpVrr6jR49mGzZsYIwx5uvrywwNDZm7uztr3rw5Gz58uNz7ycjI4H4/CVHEsWPHmJ2dHbt+/TrXdv36ddalSxfuPFaar68v4/P5rF+/fmzo0KFMQ0OjUs8TiizZevjwIWvZsiXT0tJitra2zNbWlmlpabFWrVqxlJQUqX379OnD3r17J9L+/v171qdPH4n9CgsL2ZMnT9jnz59lv7kaipZOEUJqpLS0NGzfvp0rlNSqVStMnToVLVq0kNqvefPm2LFjBxwdHWFqaoqtW7di0KBBuHPnDrp37y41Zaumpibu37+P5s2bCy1/evjwIWxsbPD582eJfd3d3WFsbIzly5cjMDAQ8+bNg729PeLi4jBixAgEBQVJ7FuvXj3ExMTAysoK3bt3h4uLC6ZMmYLHjx/DyspK6h3zsqZ7NTAwkLsqdXkr81YnJYPlU1NTsWTJEsybNw/W1tYiy66kLRlRJDVuYWEhVq1ahQ0bNnBLQ3R1dTF37lwsXry43JnTSO1WnirblpaW8Pb2xtSpUwEAERERGDRoED5//lwlv4dlWbLl5OQExhj27dvHZZDLzMzEuHHjwOfz8c8//0jsy+fz8eLFCzRs2FCo/dWrV2jatKnELHuFhYXQ0NDAnTt3RJby1ha0dIoQUiOZmpqWKwuJq6srRo0axV109+3bF0BRle7WrVvLPKa4gn2nT59GmzZtpPb9448/uCxGM2bMQP369XHp0iUMGTKE+1CXpHv37vDy8oK9vT2uXbuGQ4cOAQCSk5OlZo4Byp7uddOmTdy/MzMzsWrVKvTv31+okNyZM2ewdOlSufZXFeRJM1usffv2XIriYiWrBMubvliR1LiLFy/mlgLa29sDAGJiYrBixQrk5uZi9erVcu+LkGIl/5bllZ6eDicnJ+77vn37gsfj4b///pN5rlGEMpZsRUVF4cqVK0J/i/Xr1xf6uyqt5I2Gu3fv4sWLF9z3AoEAp0+fRtOmTSUek8/nw9LSEpmZmbV2okFLpwghNdK7d+/Y+vXruaVT/v7+LCsrS66+f/31F/P39xdaohIcHMyOHTsmtd+OHTtY06ZN2cGDB5m2tjY7cOAAW7VqFffvivLkyRM2aNAgZmNjw3bu3Mm1//TTT2zWrFlS+9arV0/msgFJRowYwTZv3izSvnnzZjZ06NBy7bOiHThwgNWpU4cNHjyYqampscGDB7OWLVuyunXrsokTJ4ps//jxY7m/pOHz+ezly5ci7W/evJGZsapJkybs+PHjIu3Hjh1jRkZGMt4xIcrD5/PZq1evhNp0dHTYo0ePKvS4yliyZWBgwGJjY0XaY2JiJC5PLc4oJy7THI/HY1paWiwoKEjqcU+cOMG6d+/Obt26Vabx1hS0dIoQUuPExcWhf//+0NTU5OpoXL9+HZ8/f8bZs2fRoUMHufaTm5srd/alYvv27cOKFSuQmpoKADAyMoKPjw8mTZoktV+LFi3g5uaGiRMnwsTEpEzHVMSCBQugo6NTricQOjo6uHnzpkhwdEpKCtq3b6+UDDDKZmNjg6lTp2LGjBnc8jZTU1NMnToVTZo0gY+PT4UcV9LSi//++w/m5uZSl9VpaGggKSkJLVu2FGp/8OAB2rdvL7UvIfKQt8o2n8/HwIEDoa6uzrWFh4fDwcFBaLlV6SeDilLGki0XFxckJCQgKCiI+1y4evUqJk+ejI4dOyI4OFikz5MnT8AYg5mZGa5duwZDQ0PuNTU1NTRs2FAokFyckkvU1NTUoKmpKfR6TVhiKg1NNAghNU6PHj1gYWGBHTt2CK09dnd3x6NHj3Dx4kWJfQUCAdasWYNt27bh5cuXSE5OhpmZGZYuXYoWLVrInDAUy8nJwadPn0QuLCXZtGkTgoODcfv2bfTp0weTJk3C8OHDhT7QpUlNTcXu3buRmpqKgIAANGzYEKdOnYKJiQnatm0rsZ8i6V6bN2+O2bNnY+7cuULtGzZswG+//SaSOrc6UCTNLFB0cb9582Yua02bNm0wa9YstGrVSuz2v/32GwBgzpw5WLlyJXR0dLjXBAIBLl68iMePH+PGjRsSj9m5c2d07tyZ21exWbNm4fr167hy5Ypc752QkspTZdvV1VWufUvLdFce6urqSElJ4bIGAkUT8JSUFLmXbGVlZWHChAkIDw/nznMFBQUYMmQIgoODpaanVsSePXukvj5hwoQKOW61UaXPUwghpAJoaGiILTZ3584dpqmpKbWvj48PMzMzY3/++SfT1NTkMkcdPHiQdenSRWrf8mYmKSk+Pp7NmjWLNWjQgBkYGLAZM2aw+Ph4qX3+/fdfpqmpyfr27cvU1NS4Mf/yyy9cBipJevfuLfFL1ph3797NVFRU2ODBg9nKlSvZypUr2eDBg5mqqirbvXu3XO+3sjVt2pQlJSUxxoqK6O3fv58xxtilS5eYnp6e1L6hoaFMVVWVdenShSvc1bVrV6aqqspCQ0PF9mnRogVr0aIF4/F4zNjYmPu+RYsWrGXLlqxfv37sypUrUo/777//Mm1tbdamTRvm5ubG3NzcWJs2bZiOjg67ePFiOX4KhDA2ffp01qZNGxYaGso0NTXZrl272MqVK1mzZs3Yn3/+WdXDE6LMJVvJycnsxIkT7MSJE1zBP1mCg4PZ33//zX0/b948VrduXda1a1eZyyZrO5poEEJqnIYNG7IzZ86ItJ8+fZo1bNhQal9zc3MWERHBGBNOUXvv3j2mr68vtS+PxxO7Dv/ly5dMVVVV3uEzxhjLy8tjmzZt4lI3fvPNNywoKIgVFhaKbNulSxcudWrJMV+9epU1bdq0TMctqytXrrAxY8Zw6SLHjBkj88K5KimSZtbMzIwtXbpUpH3ZsmXMzMxMat/evXuLVJcvi2fPnrGff/6ZjRgxgo0YMYItXryYPXv2rNz7I6QyqmwrC4/HY05OTmz48OHcl6qqKuvXr59QW0Vp2bIlO3/+PGOs6KaEpqYm2759O3N2dpbruAUFBeyvv/5ivr6+zNfXl4WGhrL8/PwKG291QkunCCE1zuzZs3H06FGsX7+eK4IXGxuLefPm4fvvv5eabUVSitq7d+/Czs5ObNxBcWaS9u3b48KFC0JZTYozk2zfvh2PHz+WOfb8/HwcPXoUu3fvxrlz59ClSxdMmjQJT58+RWBgIBwcHLB//36hPjo6Orh16xZMTU2Fxvz48WO0bt0aubm5cvzUagdF0sxqaWkhKSlJJCalZMV5eRR/7MqbJpiQilAZVbaVpbxLtry8vLBy5Upoa2vDy8tLal9py0S1tLRw//59mJiYYMGCBXj+/DlCQkJw584d9O7dG69fv5bY986dOxgyZAhevHjBLbFMTk6GoaEhwsPD0a5dO7ne29eK0tsSQmqc9evXg8fjwcXFBQUFBQCAOnXqYNq0aTJT3lpZWSE6OlokZWJoaChsbW3F9ilOgcrj8eDg4CDyuqamJjZv3iz1uAkJCdi9ezcOHDgAPp8PFxcXbNy4USil7vDhw/Htt9+K9NXX18fz589hamoq1H7jxg2xqRdHjBiB4OBg6OnpYcSIEVLHJSuoszg25NGjR9i0aZPcsSFVRZE0s71790Z0dLTIRCMmJgY9evSQ2T8oKAgbN27Ew4cPARQFuP70009wd3cX2TYpKQnt2rUDn88XSrEpjqz6AYSIo2iV7cpU3piPGzducDUupMVByZr06+joIDMzEyYmJjh79iw3adHQ0JCZjMHd3R1t27ZFXFwcdyPj3bt3mDhxIqZMmYJLly6V5S19dWiiQQipUQQCAa5cuYIVK1bgl19+4bI/mZubQ0tLS2b/ZcuWYcKECXj27BkKCwsRFhaGBw8eICQkBH///bfYPmlpaQpnJvn222/x3XffYevWrRg2bJhIUDZQVKfjxx9/FGn/8ccfsWDBAvz111/g8XgoLCxEbGwsvL294eLiIrJ93bp1uQ9WPT29ct9Zj4qKwsCBA2Fvb4+LFy9i1apVaNiwIRITExEUFITQ0NBy7beiFRYWIiUlBa9eveJqlxTr2bOnxH5DhgzBggULEB8fjy5dugAArly5gr/++gs+Pj44ceKE0LYlLVu2DP7+/pg1a5ZQzZE5c+YgPT0dvr6+Qtu3b9+ey1IlrpZHMVn1OwiRxNXVFYmJiejVqxcWLlwIZ2dnbNmyBfn5+VLv7n9NIiMjxf67rL777ju4u7vD1tYWycnJXC2R4sQS0ty8eVNokgEUZaJavXq12BtHNU6VLtwihJAKoK6urlBe94sXL7K+ffsyQ0NDpqmpyezt7cXGfChLQUEBCw4OLvca/i9fvjB3d3emqqrKeDweq1OnDuPz+WzcuHGsoKBAyaP9P1UZG1Jely9fZqampmLz4suqZyEuj764L3H7adCgARd4XtL+/ftZ/fr1RdofP37MxeMoUr+DEHk9fvyYHTlyhCUmJlb1UKqdd+/esRkzZrAhQ4awU6dOce3Lli1jq1atktrXxsaGi+8o6fz586xdu3ZKH2t1QzEahJAap1OnTvj111/h6OhY6ccWl/505syZMquKa2ho4N69eyLLn8oiPT0dt2/fxqdPn2BraytXJVoHBweEhYWJLJX48OEDhg0bhgsXLkjs+zXGhrRv3x4tW7aEj48PV/29pIpKcamvr4/r16+L/J8kJyfDzs4OWVlZFXJcQkqTVGW7dH2HmkDW0tCSlFn748OHD9y/Y2JiMH/+fKxYsULoSaivry/8/PyEKq3XRLR0ihBS46xatQre3t5YuXIlOnbsKFRIChBfiEoZjhw5gh9//BGdOnXilsdcuXIF1tbWOHjwIL7//nuJfdu1a4dHjx4pNNEwMTEpc7G/f//9V6RQF1BUwCs6Olpq37LGhlQHDx8+RGhoqEicRUUbP348tm7dKrIk5Y8//sDYsWNFti+5DEuW0su0CJFm9erVWLFiBfr27QtNTU0EBATg1atX2LVrV1UPTemUeeMgOjoa27dvx6NHj/DXX3+hadOm2Lt3L0xNTdG9e3ehbfX19YVuYjDGMGrUKK6t+B6/s7NzjV/6SE80CCE1hq+vL+bOnQtdXV2urfTJXtyadgMDA7njFKRVcTU3N8fYsWNF1tsvX74cf/75JxcvIs7p06exaNEiuSdHsjKolCRuvbUyMmV5e3vj6tWr+Ouvv9CyZUskJCTg5cuXcHFxgYuLC5YvXy73GCuLg4MD5s+fjwEDBpSrf1RUFNavX889sbKyssK8efNkBoPPmjULISEhMDY25u5qXr16Fenp6XBxcRGKyfH395e72jHFaJCyUkaV7drmyJEjGD9+PMaOHYu9e/fi7t27MDMzw5YtW3Dy5EmcPHlSaPuoqCi5992rVy9lD7daoYkGIaTGUFFRwfPnz7mLQElKn9hLVm7NzMzEqlWr0L9/f6Gg3TNnzmDp0qWYM2eOxP0qkv605Ae8PJOjPn36CH2fkJCAgoICofSJKioq6Nixo9jlT3w+X+TuWknFmbLc3NwkjjkvLw8zZsxAcHAwBAIBVFVVIRAIMGbMGAQHB8sMgK8sJbM2paamYsmSJZg3bx6sra1Fgu6lZXD6888/4erqihEjRsDe3h5AUdrko0ePIjg4GGPGjJHYt/T/lyQ8Hk/qcjVCFKWMKtu1ja2tLebMmQMXFxehZaI3btzAwIED8eLFi6oeYrVFEw1CSI3B5/O5TD3l9f3336NPnz6YOXOmUPuWLVsQERGBY8eOSezr5OSEkSNHiuR83717Nw4ePIgzZ85I7CvrDpi0u17+/v74999/sWfPHqH0ia6urujRowfmzp0r0ufJkycKZ8oqVp7YkMpUPKmS9HFX/JqspwNt2rTBlClTRCab/v7+2LFjh8wJLiHVgYqKCl68eCH0N6+rq4ukpCSFlm5WRx06dMD58+dhYGAAW1tbqU+uExISJL6mpaWFu3fvokWLFkITjUePHsHKykpmPFpubi6SkpLEZrqr6UsfKUaDEFKjKFoE7cyZM/j1119F2gcMGCCz5oIi6U8VeXy+YcMGnD17ViR94qpVq9CvXz+xE43iOiGlP/TKozyxIZUpLS1NKft59OgRnJ2dRdqHDBmCn3/+We79PH36FADKdPf4/PnzOH/+vNgLlZq4tp5UHMYYJk6cCHV1da4tNzcXHh4eQks2lRkcXVWGDh3Kvc9hw4aVez+NGzdGSkqKSCrbmJgYmJmZSe17+vRpuLi44M2bNyKv1YaljzTRIITUKC1btpQ52ZAWZ1G/fn0cP35c5OL8+PHjqF+/vtT9Tp8+HQDw+++/4/fffxf7GiD+w+XixYtS9y2tvsOHDx/EVqZ9/fo1Pn78KHW/QNFyok2bNgnFHXh6esLc3FxqP8YYQkNDERkZKfYCuLpcqJQuvlhexsbGOH/+vMjSuIiICKFlKOIUFhZi1apV2LBhA1dxWVdXF3PnzsXixYulro338fGBr68vOnXqJDZTFiFlMWHCBJG2cePGVcFIKl7JODFFYsYmT54MT09P7Nq1CzweD//99x8uX74Mb29vLF26VGrfWbNmYeTIkVi2bBkaNWpU7jF8rWiiQQipUXx8fBTKNOLj4wN3d3f8+++/6Ny5M4CioN3Tp09jx44dUvsq8nSgd+/eIm0lLyil3fUaPnw4XF1dsWHDBtjZ2QEoGvO8efNkpnc8c+YMhgwZgvbt2wvFHbRt2xbh4eH47rvvJPb96aefsH37dvTp0weNGjX6ai6AxaUgnjVrFhffIsncuXMxe/Zs3Lx5E926dQNQ9LMKDg5GQECA1L6LFy9GUFAQ/Pz8uJ9zTEwMVqxYgdzcXKxevVpi323btiE4OBjjx48vy9skRKzyVtmuKeLi4oRuqnTs2FFmn4ULF6KwsBCOjo7IyclBz549oa6uDm9vb8yaNUtq35cvX8LLy6tWTjIAUME+QkjNwePx2MuXLxXez5UrV9iYMWOYra0ts7W1ZWPGjGFXrlxRwggly8rKEvp6/fo1O3v2LOvcuTOLiIiQ2jc7O5tNmzaNqaurMz6fz/h8PlNTU2PTpk1jnz59ktq3ffv2bMGCBSLtCxYsYLa2tlL7GhgYsH/++Uf2m6tGQkNDmaqqKuvSpQubM2cOmzNnDuvatStTVVVloaGhMvuHhYUxe3t7Vq9ePVavXj1mb2/Pjh07JrNfkyZN2PHjx0Xajx07xoyMjKT2rVevHktJSZF5DEKIZBkZGax79+6Mx+MxAwMDZmBgwHg8HrO3t2cZGRly7ePLly/szp077OrVq+zjx49y9XF1dWU7d+5UZOhfNQoGJ4TUGMVZpxQJBldUedOfStufl5cX4uPjZW6bnZ3NpdA1NzcXSZErjoaGBm7duiW2kJyNjY3UIEdTU1OcOnVKZjHC6qS8KYgLCgqwZs0auLm5lSszj4aGBpKSktCyZUuh9gcPHqB9+/b4/PmzxL4LFiyAjo6OzCUahBDJBgwYgKysLOzZs4d7evngwQO4urpCT08Pp0+frpDj5uTkYOTIkTA0NBSb6W727NkVctzqgiYahJAao7xZpz58+MDVqShZ0VUcacX+FEl/Ksn9+/fRqVMnbl2/shkbG8Pf3x8jR44Uaj98+DC8vb2Rnp4use+ePXtw+vRp7Nq166upKqxICmIdHR3cvn1bJCBUHp07d0bnzp3x22+/CbXPmjUL169fx5UrV4TaS9ZJKSwsxJ49e2BjYwMbGxuRCxVxdVIIIcI0NTVx6dIl2NraCrXHx8ejR48eUv/2s7Oz4efnJzEhw6NHjyT2DQoKgoeHBzQ0NFC/fn2hJaY8Hk9q35qAYjQIITVGeWMkDAwMuCchpSu6FmNypD9dvXo11q5dK5T+dPbs2fD398fKlSulTjRK1nooPt7z58/h5+eH9u3bi2w/YsQIBAcHQ09PT2YchrSg7MmTJ2PKlCl49OiRUNzBr7/+KrMo4KhRo3DgwAE0bNgQLVq0ELkAlpYusqr07t0b0dHRIhONmJgYmU+dHB0dERUVVa6Jxtq1azFo0CBEREQI1WfJyMgQKfYFFFVXL6n4d+D27dtC7V9LXAwhVc3Y2Bj5+fki7QKBAEZGRlL7uru7IyoqCuPHjy9zQobFixfDx8cHCxcurJUFEWmiQQip9UpWxo6MjCz3fhRJf9q+fXuxtR66dOkiNn1p3bp1uQ87RYLfly5dCl1dXWzYsAGLFi0CABgZGWHFihUyH+lPmDAB8fHxGDdu3FcTDK5ICuKBAwdi4cKFuHXrltjq7dLy4ffq1QvJyckIDAzE/fv3ARRNFqdPny72IkeR30NCiKh169Zh1qxZCAwMRKdOnQAUBYZ7enpi/fr1UvueOnUK//zzD/ekuizy8vLwww8/1MpJBkBLpwghRGksLCwwb948TJ06Vah927Zt2LBhAx4+fCix75MnT4S+5/P5MDQ0hIaGhtRjMsaQkZEBQ0NDhZcvFafC1dXVlWt7bW1tnDlzBt27d1fouJVJ3g97cU+vpPWtyHz479+/h0Ag4CbDxd6+fQtVVVWpy/kIIUUMDAyQk5ODgoICqKoW3Wcv/nfpmwalU6Cbmpri5MmTaNOmTZmPO2fOHBgaGpap1k5NQk80CCGklKysLAQFBXEB3W3btoWbm5vMJweKpD8tb60HxhgsLCxw584dhStyyzvBKGZsbPzVXeQqkoK4rH2TkpLQrl078Pl8kaVxpdnY2Eh87ccff4Szs7NQLRagKI7mxIkTYpdeEUKEbdq0qdx9V65ciWXLlmHPnj3Q0tIqU1+BQIC1a9fizJkztTLGip5oEEJICXFxcejfvz80NTW5mhTXr1/H58+fcfbsWXTo0EFq/6NHj2LDhg1CNRrmzZuHoUOHit3eyckJBw4c4CYxfn5+8PDwgL6+PgAgMzMTPXr0wN27dyUes23btggKCuKWApXFy5cv4e3tzQU5lv5IkHaX/p9//sHmzZuxbdu2csUtfG1CQkLwww8/CFVUBoqWRhw8eBAuLi5C7SWTE/D5fLFL4wDZT0Pq1auH2NhYkbup9+/fh729PTIzMxV4V4QQcWxtbYWWg6akpIAxVuZ4tD59+kh8jcfj4cKFC4oPthqjiQYhhJTQo0cPWFhYYMeOHUKP193d3fHo0SOZFbzLqnRKXj09Pdy8eRNmZmYAiiYCRkZGUi9Ew8PDsXbtWmzduhXt2rUr0/EHDhyI9PR0zJw5U2yQo6QJEiC8FEFLS0vkw1daBfaqVN4UxJLSJ2dmZqJhw4Yi/0dPnjyBiYkJeDyeyNK40qQ90dLW1saVK1dgbW0t1H7r1i107txZarYcQoio3Nxc5OXlCbWVfjrr4+Mj9/4UqTpe09FEgxBCStDU1MSNGzdEakPcvXsXnTp1kuuiLi8vT2wKRBMTE5FtS6fk1dXVRWJiYpkmGiUv+NXU1ERiNaRd8Ovq6iI6OlpsZitZ9uzZI/X1CRMmlHmfFU2RFMR8Ph8vX76EoaGhUHtiYiL69OlTYROrPn36oF27dti8ebNQ+4wZM5CUlITo6OgKOS4hNUl2djYWLFiAw4cPi30KWFExVrUdxWgQQkgJenp6SE9PF5loZGRkyIxhePjwIdzc3HDp0iWhdnlS4ypCkbXHxsbGYpfzyKM6TiRkKU8K4uIlFDweD46OjtyTLqDo4iQtLQ0DBgwQ6Vcyg5Us0jJWrVq1Cn379kViYiIcHR0BAOfPn8f169dx9uxZuY9BSG02f/58REZGYuvWrRg/fjwCAwPx7NkzbN++HX5+fnLtIy4uTuhJaMeOHeXud/jwYaSnp4s8SZGWfrwmoIkGIYSU8MMPP2DSpElYv369UED3vHnzMHr0aKl9J06cCFVVVfz9999y51ovvoAt3VYWilzwb9q0CQsXLsT27dvlirNQVnHDqlKeFMTDhg0DANy8eRP9+/eHjo4O95qamhpatGiB77//XmI/WWRNQu3t7XH58mWsW7cOhw8fhqamJmxsbBAUFKRwAgBCaovw8HCEhISgd+/ecHV15ZbJNm/eHPv27cPYsWMl9n369ClGjx6N2NhYLn4uKysL3bp1w8GDB9GsWTOJfYvjt/r374+zZ8+iX79+SE5OxsuXLzF8+HBlv81qhyYahBBSwvr168Hj8eDi4oKCggIAQJ06dTBt2jSZd71u3ryJ+Ph4kach0jDGMHHiRC7AODc3Fx4eHly6xS9fvpRp/PKsPTYwMBCazGRnZ8Pc3FyuOAtlFTesKsbGxjh//rxIwb6IiAgYGxuL7VO8/rpFixb44YcfxKYcvn37tkh8jCIZrkpr37499u3bp7T9EVLbvH37lluSqqenx53bunfvjmnTpknt6+7ujvz8fNy7dw+tWrUCADx48ACurq5wd3fH6dOnJfZds2YNNm7ciBkzZkBXVxcBAQEwNTXF1KlT0aRJEyW9u+qLJhqEEPL/CQQCXLlyBStWrMAvv/yC1NRUAOAuwmWxsrLCmzdvynTM0k8jxo0bJ7JN6WxGpZV17bEiS62UVdywqiiSgrj0/9XHjx9x4MAB7Ny5E/Hx8ZUysZJnIkkIEWVmZoa0tDSYmJigdevWOHz4MOzs7BAeHs49pZAkKioKly5d4iYZANCqVSts3rxZZhKJ1NRUDBo0CEDRE9Ds7GzweDzMmTMHDg4OZQo6/xrRRIMQQv4/FRUV9OvXD/fu3YOpqalIlh9xSi4f+vXXXzF//nysWbMG1tbWIk8HxF0Q7t69W+Fxl3XtsSJLrXr16gWgKBNXVFQU3NzcpC4bqG6mTZuGxo0bY8OGDTh8+DCAohTEhw4dkpphq6SLFy8iKCgIR44cgZGREUaMGIHAwECZ/c6fP8+lES79tENc9fdiOTk5mD9/PgWxEqIAV1dXJCYmolevXli4cCGcnZ2xZcsW5Ofny6xlYWxsjPz8fJF2gUAAIyMjqX0NDAy4YqhNmzbF7du3YW1tjaysrFqRMY4mGoQQUkK7du3w6NEjmJqayrV96eVDjDEuYLdkW0UuJVJk7TFQ9GF59OhRoSDHoUOHCgU9l6aqqop169bJfNpSnRQUFGDNmjVwc3NDTExMmfq+ePECwcHBCAoKwocPHzBq1Ch8+fIFx44dg5WVlcz+Pj4+8PX1RadOneSO3yk2b948hYNYCantSiaA6Nu3L+7fv4/4+HhYWFhILZgJAOvWrcOsWbMQGBiITp06ASgK8Pb09MT69eul9u3ZsyfOnTsHa2trjBw5Ep6enrhw4QLOnTsn8llRE1F6W0IIKeH06dNYtGgRVq5ciY4dO3KxEsVKP5WIioqSe9/FTwOUTUdHB3fv3oWJiQmaNWuGsLAw2NnZIS0tDdbW1vj06ZPEvnfu3MGQIUPw4sULbllAcnIyDA0NER4eLrUux9ChQzFixIivKvuUjo4Obt++XaYCg87Ozrh48SIGDRqEsWPHYsCAAVBRUUGdOnWQmJgo10SjSZMmWLt2LcaPH1/mMZuYmHATST09PSQkJMDCwgJ79+7FgQMHqDI4IVIUFhZi3bp1OHHiBPLy8uDo6Ijly5eLpAGXpmQK8ZL1lVRVVUU+I0rHtb19+xa5ubkwMjJCYWEh1q5di0uXLsHS0hJLliyBgYGB4m+yGqMnGoQQAsDX1xdz586Fk5MTgKIsRKWfVIh7KlFy8pCeng5jY2ORu9WMMWRkZFTY2BVZe+zu7o62bdsiLi6O+8B79+4dJk6ciClTpoik6i1p4MCBWLhwIW7duiV2UiYtZWtVcXR0RFRUVJkmGqdOncLs2bMxbdq0cmd5ysvL42JCykqRIFZCarvVq1djxYoV6Nu3LzQ1NREQEIBXr15JXa5YmiJxbcUxbUBRLZ6FCxeK3c7Pzw8eHh4yz9lfG3qiQQgh+L+qz8XLhySR9lSirJWjlWXjxo1QUVHB7NmzERERAWdnZzDGuLXHnp6eEvtqamoiLi4Obdu2FWq/ffs2vv32W3z+/FliXz6fL/G16pp1atu2bfDx8cHYsWPlnhxduXIFQUFBOHToENq0aYPx48fjxx9/RJMmTeR+orFgwQLo6Ohg6dKlZR6zjY0NNm/ejF69eqFv375o37491q9fj99++w1r167F06dPy7xPQmoLS0tLeHt7Y+rUqQCKMswNGjQInz9/lnoOKw9FJgt6enq4efMmd1OhpqCJBiGEQLRCd3n3Ia5y9JMnT2BlZYXs7GxFhymXJ0+eyL32+JtvvsHGjRvh4OAg1H7hwgV4enri1q1bFTnUSqfI5Cg7OxuHDh3Crl27cO3aNQgEAvj7+8PNzU1sMUcvLy/u34WFhdizZw9sbGxgY2MjkihAWjCqIhNJQmo7dXV1pKSkCKWv1tDQQEpKitITWSgyWdDV1UViYiJNNAghpCaSNEmQR/EFZUBAACZPniyUClcgEODq1atQUVFBbGys0sYLKGft8cmTJzF//nysWLECXbp0AVB0B9/X1xd+fn7o3r07ty2lUf0/Dx48QFBQEPbu3YusrCx89913IpXA+/TpI9e+eDweLly4IPexyzKRJKS2U1FRwYsXL4TO7bq6ukhKSpI76Ye8FJks0ESDEEJqMD6fj7p168rMBlQ60A/4vwvKqKgodO3aFWpqatxrxZWjvb29lV7FeeXKlUJrj8+cOYPRo0eXae1xyTv8xe+9+GOh5Pfi7vb7+vpK3feyZcvkHkdlCQkJwQ8//MAVSCyWl5fHVfAtC4FAgPDwcOzatUtkoqEoZUwkCant+Hw+Bg4cKPQ3Hx4eDgcHB6Glk2FhYQofiyYaomiiQQghKPow2rRpE+rWrSt1O2kZllxdXREQEFBpd/6VsfZYkaxZtra2Qt/n5+cjLS0NqqqqMDc3R0JCgtz7rixVFUfz/v17CAQCocBQoGjiqqqqKvZ3RhkTSUJqO1dXV7m2U0ZNI5poiKKJBiGEQDkxGpWtMtceT58+Hb6+vmjQoIHU7T58+ICJEydi+PDh5UrlWtEkLZFLTExEnz59xD6xUoaBAwfC2dkZ06dPF2rftm0bTpw4ITZFbWUGsRJCFEcTDVGU3pYQQoAyFVAracSIEQgODoaenh5GjBghdVtlPJovqaCgABoaGkJtderUEVvBVlF//vknvL29ZU409PT04OPjA2dn52o10bC1tQWPxwOPx4Ojo6NQMUKBQIC0tDQMGDCgwo5/9epVsQHfvXv3xuLFi8X2SU9P59ItA0VFxng8Hv7777+vqho7IUS2Hj161MhlkTTRIIQQ/F9cQlmVjOuQtexK2RhjmDhxotDa49zcXHh4eCh97XFZfj7v37/H+/fvFT6mMg0bNgwAcPPmTfTv3x86Ojrca8VxNN9//32FHf/Lly8oKCgQac/Pz5eYQrgyJ5KEEMVJmiwIBAIcO3aMS5/etm1bDBkyBCoqKtw2NbXwJi2dIoSQr1RVrz3+7bffhLZhjOH58+fYu3cvevXqhf379yt8XGXbs2cPfvjhB5ELeKCodoi0SuiK6NOnD9q1a4fNmzcLtc+YMQNJSUmIjo4W6VOZQayEEOnkmSyIk5KSgkGDBuHp06do1aoVgKKsdcbGxvjnn39gbm5e4WOvSjTRIIQQIpO4iUbp1JB8Ph+GhoZwcHDAokWLxNaWqG4+fvyIAwcOYOfOnYiPj6+wYPDY2Fj07dsX3377LRwdHQEA58+fx/Xr13H27Fn06NFDpE9lTiQJIZIpMllwcnICYwz79u3jkkFkZmZi3Lhx4PP5+OeffyrlPVQVmmgQQoiSvHz5Et7e3jh//jxevXolstyoOlbKlldNC1S8ePEigoKCcOTIERgZGWHEiBH4/vvv8e2331bYMW/evIl169bh5s2b0NTUhI2NDRYtWqT0tMeEEOVSZLKgra2NK1euwNraWqg9MTER9vb2+PTpU4WOvapRjAYhhCjJxIkTkZ6ejqVLl6JJkyblDjD/2qSkpCA1NRU9e/aEpqYmV3ejunnx4gWCg4MRFBSEDx8+YNSoUfjy5QuOHTsGKyurCj9++/btsW/fvgo/DiFEuaKionDlyhWh9NT169eHn58f7O3tpfZVV1fHx48fRdo/ffokVHOppqKJBiGEKElMTAyio6PRvn37qh6K0o0bN06k1kNmZiZGjRqFyMhI8Hg8PHz4EGZmZpg0aRIMDAywYcOGKhqtKGdnZ1y8eBGDBg3Cpk2bMGDAAKioqGDbtm2VPpbc3Fzk5eUJtVHVdUKqL0UmC4MHD8aUKVMQFBQEOzs7AEVZ6Dw8PDBkyJAKGW91Qom4CSFESYyNjcudvaqqnD59GjExMdz3gYGBaN++PcaMGYN3795x7Vu3bhVJbTtnzhzUqVMH6enp0NLS4tp/+OEHnD59uuIHXwanTp3CpEmT4OPjg0GDBskM4FS2nJwczJw5Ew0bNoS2tjYMDAyEvggh1VfxZOHq1atgjIExhitXrsg1Wfjtt99gbm6Orl27QkNDAxoaGrC3t4eFhQUCAgIq6R1UHZpoEEKIkmzatAkLFy7E48ePq3oocps3bx4+fPgAALh16xbmzp0LJycnpKWlwcvLS2rfs2fP4tdffxWp6WBpaYknT55U2JjLIyYmBh8/fkTHjh3RuXNnbNmyBW/evKm048+bNw8XLlzA1q1boa6ujp07d8LHxwdGRkYICQmptHEQQspOkcmCvr4+jh8/jgcPHiA0NBShoaF48OABjh49Wukp0asCBYMTQoiSGBgYICcnBwUFBdDS0kKdOnWEXq+oqtOK0NHRwe3bt9GiRQusWLECt2/fRmhoKBISEuDk5IQXL15I7Kurq4uEhARYWloKBYvHxcWhf//+yMzMrMR3Ip/s7GwcOnQIu3btwrVr1yAQCODv7w83N7cKzZJlYmKCkJAQ9O7dG3p6ekhISICFhQX27t2LAwcO1Ngc+oTUJA8fPsT9+/cBAG3atIGFhUUVj6j6oxgNQghRkk2bNlX1EMpMTU0NOTk5AICIiAi4uLgAAOrVq8c96ZCkR48eCAkJwcqVKwEUVVcvLCzE2rVr0adPn4odeDlpa2vDzc0Nbm5uePDgAYKCguDn54eFCxfiu+++w4kTJyrkuG/fvuUydunp6XGTzu7du2PatGkVckxCiHJZWlrKlSXOy8sLK1euhLa2tswnw/7+/soaXrVEEw1CCFGC/Px8REVFYenSpSL1Jaqz7t27w8vLC/b29rh27RoOHToEAEhOThZZElXa2rVr4ejoiLi4OOTl5WH+/Pm4c+cO3r59i9jY2MoYvkJatWqFtWvX4pdffkF4eDh27dpVYccyMzNDWloaTExM0Lp1axw+fBh2dnYIDw+Hvr5+hR2XEFI+ikwWbty4gfz8fO7fklTH7HzKRkunCCFESerWrYubN29+VRON9PR0TJ8+HRkZGZg9ezYmTZoEoCjQWyAQiFT/Lu39+/fYsmULEhMT8enTJ3To0AEzZsxAkyZNKmP4X42NGzdCRUUFs2fPRkREBJydncEYQ35+Pvz9/eHp6VnVQySElNCnTx8cPXoU+vr6Up/Q8ng8XLhwoRJH9nWhiQYhhCjJhAkT0L59e8yZM6eqh1KtTJ8+Hb6+viJZq2qzJ0+eID4+HhYWFrCxsanq4RBCSIWgiQYhhCjJqlWrsGHDBjg6OqJjx47Q1tYWen327NlVNDLpUlNTsXv3bqSmpiIgIAANGzbEqVOnYGJigrZt2yq8fz09Pdy8ebPGVBUvi8LCQqxbtw4nTpxAXl4eHB0dsXz5cmhqalb10AghFWTEiBFybxsWFlaBI6l6NNEghBAlkbZkisfj4dGjR5U4GvlERUVh4MCBsLe3x8WLF3Hv3j2YmZnBz88PcXFxCA0NVfgYJTNS1TYrV67EihUr0LdvX2hqauLMmTMYPXp0hcaDEEIUp8hkwdXVVe6+u3fvlnvbrxFNNAghpBbr2rUrRo4cCS8vL6EJwbVr1zBixAg8ffpU4WPU5omGpaUlvL29MXXqVABFmb0GDRqEz58/g8+nUlaEVFc0WVAOyjpFCCFKVlwI7muISbh16xb2798v0t6wYcNKLWhXU6Wnp8PJyYn7vm/fvuDxePjvv/9kZvUihFQdmjwoB000CCFECbKysrB48WIcOnQI7969A1BUwO/HH3/EqlWrqm0KU319fTx//lxk2deNGzfQtGnTKhpVzVFQUAANDQ2htjp16nCpLwkhNU+HDh1w/vx5GBgYwNbWVmoa24SEhEocWeWjiQYhhCjo7du36Nq1K549e4axY8eiTZs2AIC7d+8iODgY58+fx6VLl2BgYFDFIxX1448/YsGCBfjrr7+4gnuxsbHw9vbmiveR8mOMYeLEiVBXV+facnNz4eHhIZQsoKYHhBLytVFksjB06FDub37YsGEVOcxqjyYahBCiIF9fX6ipqSE1NRWNGjUSea1fv37w9fXFxo0bq2iEkq1ZswYzZsyAsbExBAIBrKysIBAIMGbMGCxZskQpxxg3bhz09PSUsq+vzYQJE0Taxo0bVwUjIYSUhSKTheXLl4v9d21EweCEEKKgFi1aYPv27ejfv7/Y10+fPg0PDw88fvy4cgdWBunp6bh9+zY+ffoEW1tbWFpayuxz+vRp6OjooHv37gCAwMBA7NixA1ZWVggMDKyWT3AIIaQqxMXF4d69ewAAKysrdOzYsYpHVDlookEIIQpSV1dHamqqxODep0+fwsLCArm5uZU8soplbW2NX3/9FU5OTrh16xa+/fZbeHl5ITIyEq1bt6ZgSkJIjVKeycLTp08xevRoxMbGcrF6WVlZ6NatGw4ePFjjk0LQ0ilCCFFQgwYN8PjxY4kfGGlpaahXr14lj0oyLy8vubf19/eX+FpaWhqsrKwAAEeOHMHgwYOxZs0aJCQkCGVaIoSQr5kikwV3d3fk5+fj3r17aNWqFQDgwYMHcHV1hbu7O06fPl0Zb6HK0ESDEEIU1L9/fyxevBjnzp2Dmpqa0GtfvnzB0qVLMWDAgCoanagbN24IfZ+QkICCggLuQzA5ORkqKioy79apqakhJycHQFF9iOLg8Xr16uHDhw8VMHJCCKl8ikwWoqKicOnSJa4fALRq1QqbN29Gjx49KnzsVY0mGoQQoiBfX1906tQJlpaWmDFjBlq3bg3GGO7du4fff/8dX758wd69e6t6mJzIyEju3/7+/tDV1cWePXu4mIp3797B1dVV5odg9+7d4eXlBXt7e1y7dg2HDh0CUDRRqenLAQghtYcikwVjY2Ox6awFAgGMjIyUPtbqhsqSEkKIgpo1a4bLly/DysoKixYtwrBhwzB8+HAsXrwYVlZWiI2NhbGxcVUPU6wNGzbgl19+EQrcNjAwwKpVq7Bhwwapfbds2QJVVVWEhoZi69atXN2NU6dOVasnOIQQoghFJgvr1q3DrFmzEBcXx7XFxcXB09MT69evV/pYqxsKBieEECV69+4dHj58CACwsLCoVrEZ4ujq6iI8PBy9e/cWao+MjMSQIUPw8ePHqhkYIYRUE8ePH8eaNWsQGBiITp06ASiaLMyaNQsLFiyQmv7WwMAAOTk5KCgogKpq0UKi4n+XrKUDFNVkqmlookEIIbWYi4sLoqOjsWHDBtjZ2QEArl69innz5qFHjx7Ys2eP1P6pqanYvXs3UlNTERAQgIYNG+LUqVMwMTFB27ZtK+MtEEJIhVJksiDrHFqSuLo7XzuaaBBCSC2Wk5MDb29v7Nq1i1saoKqqikmTJmHdunUiH6IlRUVFYeDAgbC3t8fFixdx7949mJmZwc/PD3FxcQgNDa2st0EIIRWmtk8WFEETDUIIIcjOzkZqaioAwNzcXOoEo1jXrl0xcuRIeHl5QVdXF4mJiTAzM8O1a9cwYsQIPH36tKKHTQghX43c3Fzk5eUJtenp6VXRaCoHZZ0ihBACbW1t2NjYlKnPrVu3sH//fpH2hg0b4s2bN8oaGiGEVBtlnSxkZ2djwYIFOHz4MDIzM0VeFwgESh9jdUITDUIIqWVGjBiB4OBg6OnpYcSIEVK3DQsLk/iavr4+nj9/DlNTU6H2GzducBmoCCHka6fIZGH+/PmIjIzE1q1bMX78eAQGBuLZs2fYvn07/Pz8KnLY1QKltyWEkFqmbt264PF43L+lfUnz448/YsGCBXjx4gV4PB4KCwsRGxsLb29vrngfIYR87ebPn48LFy5g69atUFdXx86dO+Hj4wMjIyOEhIRI7RseHo7ff/8d33//PVRVVdGjRw8sWbIEa9aswb59+yrpHVQditEghJBaijGGjIwMGBoaQlNTs8z98/LyMGPGDAQHB0MgEEBVVRUCgQBjxoxBcHAwVFRUKmDUhBBSuUxMTBASEoLevXtDT08PCQkJsLCwwN69e3HgwAGcPHlSYl8dHR3cvXsXJiYmaNasGcLCwmBnZ4e0tDRYW1vj06dPlfhOKh890SCEkFqKMQYLC4tyB22rqalhx44dSE1Nxd9//40///wT9+/fx969e2mSQQipMd6+fQszMzMARfEYxSlsu3fvjosXL0rta2ZmhrS0NABA69atcfjwYQBFTzr09fUrbtDVBMVoEEJILcXn82FpaYnMzExYWlqWez8mJiYwMTFR4sgIIaT6KJ4smJiYcJMFOzs7uSYLrq6uSExMRK9evbBw4UI4Oztjy5YtyM/Ph7+/f+W8gSpES6cIIaQWCw8Px9q1a7F161a0a9dO5vZeXl5y77s2fIgSQmq+jRs3QkVFBbNnz0ZERAScnZ3BGOMmC56ennLv68mTJ4iPj4eFhUWZM/19jWiiQQghtVjJirdqamoisRqlq9z26dNH6PuEhAQUFBSgVatWAIDk5GSoqKigY8eOuHDhQsUOnhBCqoA8k4XCwkKsW7cOJ06cQF5eHhwdHbF8+fJyxcN9zWjpFCGE1GKbNm0q0/aRkZHcv/39/aGrq4s9e/bAwMAAAPDu3Tu4urqiR48eyhwmIYRUOkmThebNm6N58+ZS+65evRorVqxA3759oampiYCAALx69Qq7du2qpNFXD/REgxBCSLk0bdoUZ8+eRdu2bYXab9++jX79+uG///6ropERQojiVq5cKTRZOHPmDEaPHi3XZMHS0hLe3t6YOnUqACAiIgKDBg3C58+fwefXnlxMteedEkIIkSo3NxcfPnwQ+pLmw4cPeP36tUj769ev8fHjx4oaJiGEVIqQkBD8/vvvOHPmDI4dO4bw8HDs27cPhYWFMvump6fDycmJ+75v377g8Xi17gYMTTQIIaQWy87OxsyZM9GwYUNoa2vDwMBA6Eua4cOHw9XVFWFhYXj69CmePn2KI0eOYNKkSTIrjhNCSHWnyGShoKAAGhoaQm116tRBfn6+0sdZnVGMBiGE1GLz589HZGQktm7divHjxyMwMBDPnj3D9u3b4efnJ7Xvtm3b4O3tjTFjxnAfnqqqqpg0aRLWrVtXGcMnhJAKo8hkgTGGiRMnQl1dnWvLzc2Fh4cHtLW1ubawsDDlDbgaohgNQgipxRSpeFssOzsbqampAABzc3OhD1FCCPla8fl8DBw4UGiyEB4eDgcHB5mTBVdXV7mOsXv3bsUHWo3RRIMQQmoxHR0d3L17FyYmJmjWrBnCwsJgZ2eHtLQ0WFtb49OnT1U9REIIqRI0WVAcLZ0ihJBarKwVb0eMGIHg4GDo6enJjMOo6UsCCCE1G00gFEcTDUIIqcVcXV2RmJiIXr16YeHChXB2dsaWLVu4irel1a1bFzwej/s3IYQQIgktnSKEEMKRp+ItUBTomJGRAUNDw1pX6ZYQQoh8aKJBCCG1kKSKt/JOGgoLC6GhoYE7d+7A0tKygkdLCCHka0R1NAghpBZavXo1fv75Z+jo6KBp06YICAjAjBkz5O7P5/NhaWmJzMzMChwlIYSQrxk90SCEkFrI0tIS3t7emDp1KgAgIiICgwYNwufPn8Hny3cPKjw8HGvXrsXWrVvRrl27ihwuIYSQrxBNNAghpBZSV1dHSkoKjI2NuTYNDQ2kpKSgWbNmcu3DwMAAOTk5KCgogJqamsiyq7dv3yp1zIQQQr4ulHWKEEJqIUUq3hbbtGmTkkdFCCGkJqEnGoQQUgspUvGWEEIIkQc90SCEkFpowoQJIm3jxo0r9/5yc3ORl5cn1Kanp1fu/RFCCPn60RMNQggh5ZKdnY0FCxbg8OHDYrNPCQSCKhgVIYSQ6oLS2xJCCCmX+fPn48KFC9i6dSvU1dWxc+dO+Pj4wMjICCEhIVU9PEIIIVWMnmgQQggpFxMTE4SEhKB3797Q09NDQkICLCwssHfvXhw4cAAnT56s6iESQgipQvREgxBCSLm8ffsWZmZmAIriMYrT2Xbv3h0XL16syqERQgipBmiiQQghpFzMzMyQlpYGAGjdujUOHz4MoCh7lb6+fhWOjBBCSHVAS6cIIYSUy8aNG6GiooLZs2cjIiICzs7OYIwhPz8f/v7+8PT0rOohEkIIqUI00SCEEKIUT548QXx8PCwsLGBjY1PVwyGEEFLFaKJBCCGkTAoLC7Fu3TqcOHECeXl5cHR0xPLly6GpqVnVQyOEEFKNUIwGIYSQMlm9ejV+/vln6OjooGnTpggICMCMGTOqeliEEEKqGXqiQQghpEwsLS3h7e2NqVOnAgAiIiIwaNAgfP78GXw+3b8ihBBShCYahBBCykRdXR0pKSkwNjbm2jQ0NJCSkoJmzZpV4cgIIYRUJ3TriRBCSJkUFBRAQ0NDqK1OnTrIz8+vohERQgipjlSregCEEEK+LowxTJw4Eerq6lxbbm4uPDw8oK2tzbWFhYVVxfAIIYRUEzTRIIQQUiYTJkwQaRs3blwVjIQQQkh1RjEahBBCCCGEEKWjGA1CCCGEEEKI0tFEgxBCCCGEEKJ0NNEghBBCCCGEKB1NNAghhBBCCCFKRxMNQgghhBBCiNLRRIMQQgghhBCidDTRIIQQQgghhCgdTTQIIYQQQgghSvf/AGqGU4zrKardAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "string_tree = \"(Baronia_brevicornis:0.1711,((Iphiclides_podalirius:0.08472,((Graphium_evemon:0.06883,(Graphium_sarpedon:0.05466,Graphium_agamemnon:0.05188)QS1811:0.01369)QS1810:0.06096,Protographium_marcellus:0.09227)QS1808:0.01315)QS1807:0.0653,(((Hypermnestra_helios:0.04444,(Parnassius_orleans:0.01792,Parnassius_honrathi:0.03123)QS1821:0.0276)QS1820:0.06041,((Archon_apollinus:0.03581,Luehdorfia_puziloi:0.03646)QS1826:0.03388,(Sericinus_montela:0.08969,(Zerynthia_polyxena:0.02408,Allancastria_cerisyi:0.02345)QS1831:0.03039)QS1828:0.03093)QS1825:0.01972)QS1819:0.02572,(Teinopalpus_imperialis:0.09583,(((Battus_polydamas:0.0359,Battus_belus:0.04337)QS1835:0.08774,(Pharmacophagus_antenor:0.07956,(((Trogonoptera_brookiana:0.03698,(Troides_rhadamantus:0.02074,Ornithoptera_richmondia:0.01965)QS1840:0.02241)QS1839:0.00805,((Euryades_corethrus:0.04833,(Parides_agavus:0.03072,(Parides_photinus:0.02647,Parides_eurimedes:0.02819)QS1844:0.0108)QS1843:0.01245)QS1842:0.00564,Cressida_cressida:0.07354)QS1841:0.01338)QS1838:0.00944,((Byasa_alcinous:0.02248,(Atrophaneura_semperi:0.01043,Atrophaneura_dixoni:0.01171)QS1847:0.0129)QS1846:0.01879,((Pachliopta_aristolochiae:0.00348,Pachliopta_kotzebuea:0.00499)QS1849:0.0278,Losaria_coon:0.02297)QS1848:0.02356)QS1845:0.00935)QS1837:0.03434)QS1836:0.03812)QS1834:0.03412,((((Papilio_aristodemus:0.03095,(Papilio_thoas:0.00907,Papilio_cresphontes:0.00884)QS1855:0.02664)QS1854:0.03683,(Papilio_slateri:0.03379,(Papilio_glaucus:0.03012,Papilio_troilus:0.03835)QS1858:0.0096)QS1856:0.01012)QS1853:0.00628,(Papilio_gigon:0.06457,((Papilio_xuthus:0.03532,(Papilio_polyxenes:0.00579,Papilio_zelicaon:0.00541)QS1866:0.02599)QS1863:0.01789,(Papilio_deiphobus:0.02135,(Papilio_protenor:0.01221,(Papilio_polytes:0.01127,(Papilio_phestus:0.00377,Papilio_ambrax:0.00325)QS1872:0.00893)QS1871:0.00991)QS1870:0.007)QS1868:0.03981)QS1862:0.00747)QS1861:0.04588)QS1852:0.05955,Meandrusa_sciron:0.09096)QS1851:0.02719)QS1833:0.01405)QS1832:0.01719)QS1818:0.02038)QS1804:0.04527)QS1803:0;\"\n",
    "tree = read_topology(string_tree)\n",
    "plot_tree(tree,inc_names=True)\n",
    "write_topology(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It works! \n",
    "\n",
    "## Summary\n",
    "In this notebook, we know how to create a tree in Hyperiax, from either predefined topology or Newick strings. In the next one, we will see how to define some basic executions on the tree, and appreciate how fast and easy you can do this with Hyperiax."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "hyperiax_dev",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}